多项式5a(x-y)+10b(y-x)的公因式是

问题描述:

多项式5a(x-y)+10b(y-x)的公因式是

5a(x-y)+10b(y-x)的公因式是:5(x-y)
5a(x-y)+10b(y-x)
=5a(x-y)-10b(x-y)
=(x-y)(5a-10b)
=5(x-y)(a-2b)