作业帮1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(a+b)^2+23(a^2-b^2)-10(a-b)^2求这四题的分解因式.
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1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(a+b)^2+23(a^2-b^2)-10(a-b)^2求这四题的分解因式.
1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(a+b)^2+23(a^2-b^2)-10(a-b)^2
求这四题的分解因式.
1.(8X^6-7X^3-1) 2.(X+Y)^2-3(X+Y)-10 3.X^2Y^2-5X^2Y-6X^2 4.5(a+b)^2+23(a^2-b^2)-10(a-b)^2求这四题的分解因式.
1.
原式=(8x³+1)(x³-1)
=(2x+1)(4x²-2x+1)(x-1)(x²+x+1)
2.
(X+Y)^2-3(X+Y)-10
设t=x+y
则原式=t^2-3t-10 十字相乘后 =(t-5)(t+2)=(x+y-5)(x+y+2)
3.
原式=（xy-6x)(xy+x)
=x（y-6）x（y+1）
=x^2(y-6）（y+1）
4.
原式=5(a+b)^2+23(a+b)(a-b)-10(a-b)^2
十字相乘后 =[5(a+b)-2(a-b)][(a+b)+5(a-b)]
=(3a+7b)(6a-4b)
=2(3a+7b)(3a-2b)
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