Question

Factorize by taking out the common factors:
2(2x-5y)(3x+4y)-6(2x-5y)(x-y)

Answer 1

$2(2x - 5y)(3x + 4y) - 6(2x - 5y)(x - y) \\ = (2x - 5y)(2(3x + 4y) - 6(x - y)) \\ = (2x - 5y)(6x + 8y - 6x + 6y) \\ = (2x - 5y)(14y) \\ = 14(2x - 5y)(y)$
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