Question

因式分解.1：a^2b-6ab=9b2:y^3(x-2)=y(2-x)3:a^2-b^2-(a-b)^2 4:4a^2-

Answer 1

a^2b-6ab+9b

=b(a^2-6a+9)

=b(a-3)²

2)

y^3(x-2)+y(2-x)

=y^3(x-2)-y(x-2)

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

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

3)a^2-b^2-(a-b)^2

=a^2-b^2-(a^2-2ab+b^2)

=-2b^2+2ab

=2b(a-b)

4)

4a^2-12ab+9b^2-1

=(2a)²-2*2a*3b+（3b）²-1

=（2a-3b）²-1

=（2a-3b+1）(2a-3b-1)