因式分解(1)2x^3(a-1)+8x(1-a)=(2)-4a^2+24a-36=(3)(x^2-3)^2-12(x^2-3)+36 =
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![因式分解(1)2x^3(a-1)+8x(1-a)=(2)-4a^2+24a-36=(3)(x^2-3)^2-12(x^2-3)+36 =](/uploads/image/z/1989688-40-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%881%EF%BC%892x%5E3%28a-1%29%2B8x%281-a%29%3D%EF%BC%882%EF%BC%89-4a%5E2%2B24a-36%3D%283%29%28x%5E2-3%29%5E2-12%28x%5E2-3%29%2B36+%3D)
因式分解(1)2x^3(a-1)+8x(1-a)=(2)-4a^2+24a-36=(3)(x^2-3)^2-12(x^2-3)+36 =
因式分解(1)2x^3(a-1)+8x(1-a)=
(2)-4a^2+24a-36=
(3)(x^2-3)^2-12(x^2-3)+36 =
因式分解(1)2x^3(a-1)+8x(1-a)=(2)-4a^2+24a-36=(3)(x^2-3)^2-12(x^2-3)+36 =
2x^3(a-1)+8x(1-a)
=2x^3(a-1)-8x(a-1)
=2x(a-1)(x^2-4)
=2x(a-1)(x+2)(x-2)
(2)-4a^2+24a-36
=-4(a^2-6a+9)
=-4(a-3)^2
(3)(x^2-3)^2-12(x^2-3)+36 =
=(x^2-3-6)^2
=(x^2-9)^2
=(x+3)^2(x-3)^2
(1)2x^3(a-1)+8x(1-a)
=2x³(a-1)-8x(a-1)
=2x(a-1)(x²-4)
=2(a-1)x(x+2)(x-2)
(2)-4a^2+24a-36
=-4(a²-6a+9)
=-4(a-3)²
(3)(x^2-3)^2-12(x^2-3)+36
=[(a²...
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(1)2x^3(a-1)+8x(1-a)
=2x³(a-1)-8x(a-1)
=2x(a-1)(x²-4)
=2(a-1)x(x+2)(x-2)
(2)-4a^2+24a-36
=-4(a²-6a+9)
=-4(a-3)²
(3)(x^2-3)^2-12(x^2-3)+36
=[(a²-3)-6]²
=(a²-9)²
=(a+3)²(a-3)²
收起
1.原式=2x^3(a-1)-8x(a-1)=2x(a-1)(x^2-4)
=2x(a-1)(x+2)(x-2)
2.原式=-4(a^2-6a+9)=-4(a-3)^2
3.原式=[(x^2-3)-6]^2=(x^2-9)^2=[(x+3)(x-3)]^2=(x+3)^2(x-3)^2
(1)2x^3(a-1)+8x(1-a)=2x^3(a-1)+8x(1-a)=2x³(a-1)-8x(a-1)=2x(a-1)(x²-4)=2(a-1)x(x+2)(x-2)
(2)-4a^2+24a-36=-4(a²-6a+9)=-4(a-3)²
(3)(x^2-3)^2-12(x^2-3)+36 =[(a²-3)-6]²=(a²-9)²=[(a+3)(a-3)]²=(a+3)²(a-3)²