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Factorize completely 4abx – 2axy -12b2x + 6bxy

Factorize completely 4abx – 2axy -12b2x + 6bxy
  • A.
    2x(a – 3b)(2b – y)
  • B.
    2x(3b – a)(2b – y)
  • C.
    2x(a – 3b)(y – 2b)
  • D.
    2x(2b – a)(3b – y)
Correct Answer: Option A
Explanation

4abx – 2axy – 12b2x + 6bxy = (4abx – 2axy) – (12b2x – 6bxy)
= 2ax(2b – y) -6bx(2b – y)
= (2ax – 6bx)(2b – y)
= 2x(a – 3b)(2b – y)