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Q: Simplify the problem (3x + 2y)² – (3x – 2y)² .
  • A. 9x² – 4y²
  • B. 12xy
  • C. 18x² – 8y²
  • D. 24xy
Correct Answer: Option D - (3x + 2y)² – (3x – 2y)² (3x + 2y + 3x – 2y) (3x + 2y – 3x + 2y) [∵ a² – b² = (a + b) (a – b)] = 6x × 4y = 24xy
D. (3x + 2y)² – (3x – 2y)² (3x + 2y + 3x – 2y) (3x + 2y – 3x + 2y) [∵ a² – b² = (a + b) (a – b)] = 6x × 4y = 24xy

Explanations:

(3x + 2y)² – (3x – 2y)² (3x + 2y + 3x – 2y) (3x + 2y – 3x + 2y) [∵ a² – b² = (a + b) (a – b)] = 6x × 4y = 24xy