passpadi

2003

Mathematics

67ca00ce0c643c71d77dee1f

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: 2x(a - 3b)(2b - y)

Explanation

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

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