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问题: 计算1.-2ab(3a^2-2ab-4b^2);2.(x+3)(x-4)-(x-1)^2;3.x^2

计算1.-2ab(3a^2-2ab-4b^2);
2.(x+3)(x-4)-(x-1)^2;
3.x^2(x-y)+(y-x)
4.4(x+1)^2-7(x-1)(x+1)+3(1-X)^2,其中x=-(1/2)

解答:

1.-2ab(3a^2-2ab-4b^2)= -6a^3 b+4a^2 b^2+8ab^3.
2.(x+3)(x-4)-(x-1)^2=x^2-x-12-(x^2-2x+1)=x-13.
3.x^2(x-y)+(y-x) =x^3-x^2y+y-x.(是不是这题是因式分解:
=(x^2-1)(x-y)=(x+1)(x-1)(x-y).
4.4(x+1)^2-7(x-1)(x+1)+3(1-X)^2,其中x=-(1/2)
设x+1=a,x-1=b.则原式=4a^2-7ab+3b^2=(4a-3b)(a-b)
=(4x+4-3x+3)*2=2x+14=-1+14=13.