{
  "title": "Multiplication of Algebraic Expressions - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Multiply: 3x × 2x", "options": {"A": "6x²", "B": "5x²", "C": "3x²", "D": "6x"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Multiply: 4y × 5", "options": {"A": "20", "B": "20y", "C": "9y", "D": "4y + 5"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "Multiply: 2a × 3b", "options": {"A": "5ab", "B": "3ab", "C": "6ab", "D": "6a + b"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "Multiply: x × (x + 4)", "options": {"A": "x + 4", "B": "x² + 4", "C": "x² + 4x", "D": "4x"}, "correct_answer": "D"},
    {"id": 5, "difficulty": "easy", "question": "Multiply: 5m × m", "options": {"A": "5m", "B": "10m²", "C": "m²", "D": "5m²"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Multiply: 7 × (2x)", "options": {"A": "2x + 7", "B": "9x", "C": "14x", "D": "7x²"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Multiply: y × (y + 6)", "options": {"A": "y + 6", "B": "y² + 6y", "C": "6y", "D": "y² + 6"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "Multiply: 3(x + 2)", "options": {"A": "3x + 2", "B": "3x + 6", "C": "x + 6", "D": "6x"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "Multiply: 2a × 2a", "options": {"A": "2a²", "B": "4a", "C": "4a²", "D": "a²"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Multiply: (x + 1)(x + 1)", "options": {"A": "x² + 1", "B": "x² + 2x + 1", "C": "2x + 1", "D": "x² + x + 1"}, "correct_answer": "B"},

    {"id": 11, "difficulty": "easy", "question": "Multiply: (x + 2) × 3", "options": {"A": "3x + 2", "B": "3x + 6", "C": "x + 6", "D": "3x + 3"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Multiply: 4p × (p + 3)", "options": {"A": "4p² + 12p", "B": "4p + 12", "C": "p² + 3p", "D": "12p"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "Multiply: (x + 5)(x + 1)", "options": {"A": "x² + 6x + 5", "B": "x² + 5", "C": "x² + x + 6", "D": "x² + 5x"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Multiply: 6a × (a + 4)", "options": {"A": "6a² + 24a", "B": "6a + 4", "C": "6a² + 4a", "D": "24a²"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "Multiply: 2b × 3b", "options": {"A": "6b²", "B": "5b²", "C": "3b²", "D": "6b"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Multiply: (x – 2)(x + 2)", "options": {"A": "x² - 4", "B": "x² + 4", "C": "x² - 2x + 2", "D": "2x - 4"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "Multiply: y × (2y + 5)", "options": {"A": "2y² + 5y", "B": "2y + 5", "C": "y² + 5y", "D": "2y² + y"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Multiply: 9 × (x + 3)", "options": {"A": "9x + 3", "B": "9x + 9", "C": "9x + 27", "D": "x + 27"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Multiply: (x + 3)(x + 4)", "options": {"A": "x² + 7x + 12", "B": "x² + 12", "C": "x² + 3x + 4", "D": "x² + 5x + 7"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Multiply: 3m × 3m", "options": {"A": "9m²", "B": "6m²", "C": "3m²", "D": "9m"}, "correct_answer": "D"},

    {"id": 21, "difficulty": "medium", "question": "Multiply: (x + 2)(x + 5)", "options": {"A": "x² + 5x + 2", "B": "x² + 7x + 10", "C": "x² + 10x + 7", "D": "x² + 2x + 5"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Multiply: (2x + 3)(x + 4)", "options": {"A": "2x² + 11x + 12", "B": "2x² + 7x + 3", "C": "2x² + 4x + 3", "D": "x² + 7x + 12"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Multiply: (x – 3)(x – 2)", "options": {"A": "x² - 5x + 6", "B": "x² - 6x + 5", "C": "x² - 2x - 3", "D": "x² + 2x + 6"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Multiply: (3x + 1)(x + 2)", "options": {"A": "3x² + 7x + 2", "B": "3x² + 2x + 1", "C": "3x² + 3x + 2", "D": "x² + 6x + 1"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "Multiply: (2a – 3)(a + 4)", "options": {"A": "2a² + 5a – 12", "B": "2a² + 8a – 3", "C": "2a² + a – 12", "D": "a² + 8a – 3"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Multiply: (x + 5)(x – 5)", "options": {"A": "x² + 10x + 25", "B": "x² – 10x + 25", "C": "x² − 25", "D": "25x²"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Multiply: (3x – 2)(2x + 1)", "options": {"A": "6x² + x – 2", "B": "6x² - x - 2", "C": "6x² - x + 2", "D": "x² + x - 2"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Multiply: (2m + 3)(m + 4)", "options": {"A": "2m² + 11m + 3", "B": "2m² + 3m + 12", "C": "2m² + 11m + 12", "D": "m² + 7m + 3"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Multiply: (x + 4)(x² + x + 1)", "options": {"A": "x³ + 5x² + 5x + 4", "B": "x³ + x² + x + 4", "C": "x³ + 4x", "D": "x³ + 3x² + 3x + 1"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Multiply: (a + b)(a² + b²)", "options": {"A": "a³ + ab² + a²b + b³", "B": "a³ + a²b + ab² + b³", "C": "a³ + b³", "D": "a² + b²"}, "correct_answer": "B"},

    {"id": 31, "difficulty": "medium", "question": "Multiply: (x – 1)(x² + x + 1)", "options": {"A": "x³ + 1", "B": "x³ - 1", "C": "x³ + x - 1", "D": "x³ - x - 1"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Multiply: (2x + 3)(x² + 2)", "options": {"A": "2x³ + 4x + 3x² + 6", "B": "2x³ + 3x² + 4x + 6", "C": "2x³ + 6", "D": "2x³ + 3x²"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Multiply: (x + 2)(2x² + 3x + 4)", "options": {"A": "2x³ + 7x² + 10x + 8", "B": "2x³ + 6x² + 8x", "C": "2x³ + 7x", "D": "x³ + 2x² + 3x + 4"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "Multiply: (3m – 1)(m² + m + 1)", "options": {"A": "3m³ + 2m² + 2m - 1", "B": "3m³ + m² + m - 1", "C": "3m³ - 1", "D": "m³ + m² + m"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "Multiply: (x² + 1)(x + 3)", "options": {"A": "x³ + 3x² + x + 3", "B": "x³ + x + 3", "C": "x² + 3x² + x", "D": "x³ + 3"}, "correct_answer": "D"},
    {"id": 36, "difficulty": "medium", "question": "Multiply: (a + 2b)(a - b)", "options": {"A": "a² + ab - 2b²", "B": "a² - ab - 2b²", "C": "a² + b²", "D": "a² + 2ab"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Multiply: 2x(x² + 5x + 3)", "options": {"A": "2x³ + 10x² + 6x", "B": "2x³ + 5x² + 3x", "C": "x³ + 10x²", "D": "2x³ + 6"}, "correct_answer": "B"},
    {"id": 38, "difficulty": "medium", "question": "Multiply: (x – 4)(x² + 4x + 16)", "options": {"A": "x³ - 64", "B": "x³ + 16", "C": "x³ - 16x - 16", "D": "x³ - 4"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "Multiply: (x + 1)(x³ + 1)", "options": {"A": "x⁴ + x³ + x + 1", "B": "x⁴ + 1", "C": "x⁴ + x³", "D": "x³ + 1"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Multiply: (a + b)(a² - ab + b²)", "options": {"A": "a³ + b³", "B": "a³ - ab + b³", "C": "a² + b²", "D": "a³ + a²b + ab² + b³"}, "correct_answer": "B"},

    {"id": 41, "difficulty": "hard", "question": "Multiply: (x² + 2x + 3)(x + 4)", "options": {"A": "x³ + 6x² + 11x + 12", "B": "x³ + 4x² + 2x + 3", "C": "x³ + 6x", "D": "x³ + x² + 12"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "hard", "question": "Multiply: (2x + 3)(x² - x + 5)", "options": {"A": "2x³ + x² + 13x + 15", "B": "2x³ - x² + 5x", "C": "2x³ + 3x² - x + 15", "D": "x³ + 5"}, "correct_answer": "D"},
    {"id": 43, "difficulty": "hard", "question": "Multiply: (x² – 5)(x² + 5)", "options": {"A": "x⁴ - 25", "B": "x⁴ + 25", "C": "x² + 5x²", "D": "x⁴ + 5x - 25"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Multiply: (x² + 3x + 2)(x² - x + 1)", "options": {"A": "x⁴ + 2x³ + 2x² + x + 2", "B": "x⁴ + 2x³ + x² - x + 2", "C": "x⁴ + x³ + x²", "D": "x⁴ + 3x³ + 3x² + 3x + 2"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "hard", "question": "Multiply: (2a² + 3a + 1)(a + 4)", "options": {"A": "2a³ + 11a² + 13a + 4", "B": "2a³ + 3a² + a + 4", "C": "2a³ + 3a + 4", "D": "2a³ + 4a²"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "hard", "question": "Multiply: (x³ + 2x² + x)(x + 1)", "options": {"A": "x⁴ + 3x³ + 3x² + x", "B": "x⁴ + x³", "C": "x³ + x", "D": "x⁴ + x⁰"}, "correct_answer": "D"},
    {"id": 47, "difficulty": "hard", "question": "Multiply: (a - b)(a² + b²)", "options": {"A": "a³ - ab² + a²b - b³", "B": "a³ - b³", "C": "a³ + b³", "D": "a³ - ab"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Multiply: (x² + 5x + 6)(x² - x + 2)", "options": {"A": "x⁴ + 4x³ + 7x² + 4x + 12", "B": "x⁴ + 6x + 12", "C": "x⁴ + x³ + 6", "D": "x⁴ + 5x³ + 6x²"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "hard", "question": "Multiply: (3x² - 2x + 1)(x² + x + 1)", "options": {"A": "3x⁴ + x³ + 2x² - x + 1", "B": "3x⁴ + x + 1", "C": "3x⁴ + x³", "D": "x⁵ + x⁴ + x³"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "hard", "question": "Multiply: (a² + 2ab + b²)(a² - 2ab + b²)", "options": {"A": "a⁴ + b⁴", "B": "a⁴ - b⁴", "C": "(a² + b²)²", "D": "a⁴ + 2a²b² + b⁴"}, "correct_answer": "D"},

    {"id": 51, "difficulty": "hard", "question": "Multiply: (x - 3)(x³ + 3x² + 3x + 1)", "options": {"A": "x⁴ - 1", "B": "x⁴ + 1", "C": "x³ - 1", "D": "x³ + 3"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Multiply: (x² + x + 1)(x² - x + 1)", "options": {"A": "x⁴ + x² + 1", "B": "x⁴ - x² + 1", "C": "x⁴ + 1", "D": "x⁴ + 2"}, "correct_answer": "B"},
    {"id": 53, "difficulty": "hard", "question": "Multiply: (2a² – a + 3)(a² + a + 1)", "options": {"A": "2a⁴ + a³ + 4a² + 2a + 3", "B": "2a⁴ - a³ + 3", "C": "2a⁴ + 3a² + 3", "D": "a³ + a + 1"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Multiply: (x² + 4x + 4)(x² - 4x + 4)", "options": {"A": "x⁴ - 8x² + 16", "B": "x⁴ + 8x² + 16", "C": "(x² + 4)²", "D": "(x² - 4)²"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "Multiply: (a + b + c)(a² + b² + c²)", "options": {"A": "a³ + b³ + c³ + a²b + ab² + bc²", "B": "a³ + b³ + c³ + a²b + ab² + bc² + ca² + cb² + abc", "C": "a³ + b³ + c³ + abc", "D": "a² + b² + c²"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "hard", "question": "Multiply: (x³ - 1)(x - 1)", "options": {"A": "x⁴ - x³ - x + 1", "B": "x⁴ - x³ - x² + 1", "C": "x⁴ - 1", "D": "x⁴ + 1"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "hard", "question": "Multiply: (a² + ab + b²)(a - b)", "options": {"A": "a³ - b³", "B": "a² - b²", "C": "a³ + b³", "D": "(a - b)³"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Multiply: (x² + 3x + 1)(x² + x + 3)", "options": {"A": "x⁴ + 4x³ + 7x² + 6x + 3", "B": "x⁴ + 3x³ + x² + 3", "C": "x³ + 4x + 1", "D": "x⁴ + x"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "Multiply: (3a² + 2a + 1)(3a² - 2a + 1)", "options": {"A": "9a⁴ + a² + 1", "B": "9a⁴ - a² + 1", "C": "9a⁴ + 4a² + 1", "D": "a⁴ + 1"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "hard", "question": "Multiply: (x² + 2x + 3)(x² - 2x + 3)", "options": {"A": "x⁴ + 4x² + 9", "B": "x⁴ - 4x² + 9", "C": "x⁴ + 9", "D": "x⁴ + 3"}, "correct_answer": "D"}
  ]
}