Question

帮忙分解因式(共3题)(要有步骤)

（1）4x(a-b)-6y(b-a)+8z(b-a)
(2)(2a+b)(2a-3b)+a(2a+b)
(3)6(x-y)^3+15(y-x)^2-9(y-x)^3
是因式分解！不是分解因式

Answer 1

（1）4x(a-b)-6y(b-a)+8z(b-a)
=4x(a-b)+6y（a-b)-8z(a-b)
=2(a-b)(2x+3y-4z)
(2)(2a+b)(2a-3b)+a(2a+b)
=(2a+b)(2a-3b+a)
=(2a+b)(3a-3b)
=3(2a+b)(a-b)
(3)6(x-y)^3+15(y-x)^2-9(y-x)^3
=3(x-y)^2[2（x-y)+5+3(x-y)]
=3(x-y)^2(5x-5y+5)
=15(x-y)^2(x-y+1)

祝你开心

Answer 2

（1）4x(a-b)-6y(b-a)+8z(b-a)
=4x(a-b)+6y(a-b)-8z(a-b)
=2(a-b)(2x+3y-4z)

(2)(2a+b)(2a-3b)+a(2a+b)
=(2a+b)(2a-3b+a)
=3(2a+b)(a-b)

(3)6(x-y)^3+15(y-x)^2-9(y-x)^3
=6(x-y)^3+15(x-y)^2+9(x-y)^3
=15(x-y)^3+15(x-y)^2
=15(x-y)^2(x-y+1)