Question

1.多项式-a(a-x)(x-b)+ab(a-x)(b-x)的公因式是?

Answer 1

1.

-a(a-x)(x-b)+ab(a-x)(b-x)

=a(a-x)[-(x-b)]+ab(a-x)(b-x)

=a(a-x)(b-x)+ab(a-x)(b-x)

所以公因式是(a-x)(b-x)

2.因式分解(a+4)^2-2a-8

=(a+4)^2-2(a+4)

=(a+4)(a+4-2)

=(a+4)(a+2)

3.x(x+1)+y(xy+y)

=x(x+1)+y^2(x+1)

=(x+y^2)(x+1)

=(x+1)·M,

所以M=x+y^2