把下列各式分解因式,要有具体过程的!x(x-y)^2-y(y-x)^218(a-b)^3-12b(b-a)^2(2a+b)(2a-3b)-3a(2a+b)x(x+3)(x-y)-x(x+y)^2
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![把下列各式分解因式,要有具体过程的!x(x-y)^2-y(y-x)^218(a-b)^3-12b(b-a)^2(2a+b)(2a-3b)-3a(2a+b)x(x+3)(x-y)-x(x+y)^2](/uploads/image/z/14840008-16-8.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%2C%E8%A6%81%E6%9C%89%E5%85%B7%E4%BD%93%E8%BF%87%E7%A8%8B%E7%9A%84%21x%28x-y%29%5E2-y%28y-x%29%5E218%28a-b%29%5E3-12b%28b-a%29%5E2%282a%2Bb%29%282a-3b%29-3a%282a%2Bb%29x%28x%2B3%29%28x-y%29-x%28x%2By%29%5E2)
把下列各式分解因式,要有具体过程的!x(x-y)^2-y(y-x)^218(a-b)^3-12b(b-a)^2(2a+b)(2a-3b)-3a(2a+b)x(x+3)(x-y)-x(x+y)^2
把下列各式分解因式,要有具体过程的!
x(x-y)^2-y(y-x)^2
18(a-b)^3-12b(b-a)^2
(2a+b)(2a-3b)-3a(2a+b)
x(x+3)(x-y)-x(x+y)^2
把下列各式分解因式,要有具体过程的!x(x-y)^2-y(y-x)^218(a-b)^3-12b(b-a)^2(2a+b)(2a-3b)-3a(2a+b)x(x+3)(x-y)-x(x+y)^2
1.x(x-y)^2-y(y-x)^2 = (x-y)^2*(x-y)
= (x-y)^3
2.18(a-b)^3-12b(b-a)^2 = (a-b)^2*(18a-18b-12b)
= 6(a-b)^2*(3a-5b)
3.(2a+b)(2a-3b)-3a(2a+b) = (2a+b)(2a-3b-3a)
= -(2a+b)(a+3b)
4.x(x+3)(x-y)-x(x+y)^2 = x(x^2+3x-3y-xy-x^2-2xy-y^2)
= x(3x-3y-3xy-y^2)
x(x-y)^2-y(y-x)^2 =x(x-y)^2-y(x-y)^2=(x-y)(x-y)^2=(x-y)^3
18(a-b)^3-12b(b-a)^2=18(a-b)^3-12b(a-b)^2=[18(a-b)-12b](a-b)^2
=(18a-30b)(a-b)^2=6(3a-5b)(a-b)^2
(2a+b)(2a-3b)...
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x(x-y)^2-y(y-x)^2 =x(x-y)^2-y(x-y)^2=(x-y)(x-y)^2=(x-y)^3
18(a-b)^3-12b(b-a)^2=18(a-b)^3-12b(a-b)^2=[18(a-b)-12b](a-b)^2
=(18a-30b)(a-b)^2=6(3a-5b)(a-b)^2
(2a+b)(2a-3b)-3a(2a+b)=(2a+b)(2a-3b-3a)=-(2a+b)(a+3b)
x(x+3)(x-y)-x(x+y)^2=x[(x+3)(x-y)-(x+y)^2]
=x(x^2-3y+3x-xy-x^2-y^2-2xy)
=x(-3y-y^2+3x-3xy)
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