分解因式 2a(a-b)+4a(2a+3b)怎么求?

问题描述:

分解因式 2a(a-b)+4a(2a+3b)
怎么求?

2a(a-b)+4a(2a+3b)
=2a(a-b)+2a(4a+6b)
=2a[(a-b)+(4a+6b)]
=2a[a-b+4a+6b]
=2a(5a+5b)
=10a(a+b)

2a(a-b+4a+6b)=2a(5a+5b)=10a(a+b)

原式=2a^2-2ab+8a^2+12ab
=10a^2+10ab

不破不立,拆了再说

2a(a-b)+4a(2a+3b)
= 2a^2-2ab+8a^2+12ab
= 10a^2+10ab
= 10a(a+b)