将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式

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将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式

将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式
将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式

将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式
(3a - 4b)(7a - 8b) + (11a + 4b)(8b - 7a)
= (3a - 4b)(7a - 8b) - (11a + 4b)(7a - 8b)
= (7a - 8b)(3a - 4b - 11a - 4b)
= (7a - 8b)(-8a - 8b)
= -8(7a - 8b)(a + b)

(3a - 4b)(7a - 8b) + (11a + 4b)(8b - 7a)
= (3a - 4b)(7a - 8b) - (11a + 4b)(7a - 8b)
= (7a - 8b)(3a - 4b - 11a - 4b)
= (7a - 8b)(-8a - 8b)
= -8(7a - 8b)(a + b)

=(7a-8b)[(3a-4b)-(11a+4b)]
=(7a-8b)(-8a-8b)
= -8(a+b)(7a-8b)
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