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Factorize a2x - b2y - b2x + a2y

Factorize a2x - b2y - b2x + a2y
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  • A (a - b)(x + y)
  • B (y - x)(a - b)(a + b)
  • C (x - y)(a - b)(a + b)
  • D (x + y)(a - b)(a + b)
Correct Answer: Option D
Explanation:
a2x - b2y - b2x + a2y = a2x - b2x - b2y + a2y Rearrange
= x(a2 - b2) + y(a2 - b2)
= (x + y)(a2 - b2)
= (x + y)(a + b)(a + b)

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