Question

因式分解4（a-b）^2-9(a+b)^2

Answer 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)

Answer 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)

Answer 3

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

Answer 4

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

Answer 5

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