Question

因式分解 过程！！！

3b(b-a)+6a(a-b)^2
2x^3-8x^2+8x
(a^2+4)^2-16a^2
x^2y^2-x^2(y-1)^2

Answer 1

3b(b-a)+6a(a-b)^2
=(b-a)(3b+6ab-6a^2)
2x^3-8x^2+8x
=2x(x^2-4x+4)
=2x(x-2)^2
(a^2+4)^2-16a^2
=(a^2+4-4a)(a^2+4+4a)
=(a-2)^2(a+2)^2
x^2y^2-x^2(y-1)^2
=(xy-x(y-1))(xy+x(y-1))
=x(2xy-x)
=x^2(2y-1)

Answer 2

3b(b-a)+6a(a-b)^2
=-3b(a-b)+6a(a-b)^2
=(a-b)[6a(a-b)-3b]
=3(a-b)[2a^2-2ab-b]
2x^3-8x^2+8x
=2x(x^2-4x+4)
=2x(x-2)^2

(a^2+4)^2-16a^2
=[(a^2+4)+4a][(a^2+4-4a)]
=(a^2+4a+4)(a^2-4a+4)
=(a+2)^2(a-2)^2
x^2y^2-x^2(y-1)^2
=x^2(y^2-(y-1)^2)
=x^2[(y+y-1)(y-y+1)]
=x^2(2y-1)