Question

因式分解：x-xy^2=_____,169x^2y^2-1=____.ab^3-a^3b=____,(x-y)^2-1=

Answer 1

x-xy^2

=x(1+y)(1-y)

169x^2y^2-1

=(13xy+1)(13xy-1)

ab^3-a^3b

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

(x-y)^2-1

=(x-y+1)(x-y-1)

x^3-16x^2+64x

=x(x^2-16x+64)

=x(x-8)^2

2x^2-4xy+2y^2

=2(x^2-2xy+y^2)

=2(x-y)^2

25(x-y)^2-10(x-y)+1

=[5(x-y)-1]^2

=(5x-5y-1)^2