把下列各式因式分解:(1)3x-12x3(2)-2a3+12a2-18a(3)9a2(x-y)+4b2(y-x)&nbs
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把下列各式因式分解:
(1)3x-12x3
(2)-2a3+12a2-18a
(3)9a2(x-y)+4b2(y-x)
(4)(x+y)2+2(x+y)+1.
(1)3x-12x3
(2)-2a3+12a2-18a
(3)9a2(x-y)+4b2(y-x)
(4)(x+y)2+2(x+y)+1.
![把下列各式因式分解:(1)3x-12x3(2)-2a3+12a2-18a(3)9a2(x-y)+4b2(y-x)&nbs](/uploads/image/z/15481240-16-0.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%893x-12x3%EF%BC%882%EF%BC%89-2a3%2B12a2-18a%EF%BC%883%EF%BC%899a2%EF%BC%88x-y%EF%BC%89%2B4b2%EF%BC%88y-x%EF%BC%89%26nbs)
(1)原式=3x(1-4x2)=3x(1+2x)(1-2x);
(2)原式=-2a(a2-6a+9)=-2a(a-3)2;
(3)原式=9a2(x-y)-4b2(x-y)=(x-y)(9a2-4b2)=(x-y)(3a+2b)(3a-2b).
(4)原式=(x+y+1)2.
(2)原式=-2a(a2-6a+9)=-2a(a-3)2;
(3)原式=9a2(x-y)-4b2(x-y)=(x-y)(9a2-4b2)=(x-y)(3a+2b)(3a-2b).
(4)原式=(x+y+1)2.
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