因式分解4(a-b)^2-9(a+b)^2

2024-12-17 01:47:06
推荐回答(5个)
回答1:

4(a-b)^2-9(a+b)^2
=(2a-2b)^2-(3a+3b)^2
=[(2a-2b)+(3a+3b)][(2a-2b)-(3a+3b)]
=(5a+b)(-a-5b)
=-(5a+b)(a+5b)

回答2:

原式=(2a-2b)^2-(3a+3b)^2
=(2a-2b+3a+3b)(2a-2b-3a-3b)
=-(5a+b)(a+5b)
=-(5a^2+5b^2+26ab)

回答3:

原式=(2(a-b)+3(a-b))(2(a-b)-3(a-b))
=(5a+b)(-a-5b)
=-(5a+b)(a+5b)

回答4:

4(a-b)^2-9(a+b)^2
=(2a-2b+3a+3b)(2a-2b-3a-3b)
=-(5a+b)(5b+a)

回答5:

-5(a-b)(a+b)