将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式
问题描述:
将(3a-4b)(7a-8b)+(11a+4b)(8b-7a)分解因式
答
(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)
答
(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)