大师作文网1.16（x+y）²-36（x-y)²
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/17 14:11:42
1.16（x+y）²-36（x-y)²
2.（a²+b²）²-4a²b²
3.（x+y）²+4（x-y）²-4（x²-y²）
2.（a²+b²）²-4a²b²
3.（x+y）²+4（x-y）²-4（x²-y²）
1、原式=[4(x+y)]^2-[6(x-y)]^2
=[4(x+y)+6(x-y)][4(x+y)-6(x-y)]
=(10x-2y)(10y-2x)
=4(5x-y)(5y-x)
2、原式=a^4+2a^2b^2+b^4-4a^2b^2
=a^4-2a^2b^2+b^4
=(a^2-b^2)^2
=[(a+b)(a-b)]^2
=(a+b)^2(a-b)^2
3、原式=（x+y）^2-4(x+y)(x-y)+[2(x-y)]^2
=[(x+y)-2(x-y)]^2
=(3y-x)^2
=[4(x+y)+6(x-y)][4(x+y)-6(x-y)]
=(10x-2y)(10y-2x)
=4(5x-y)(5y-x)
2、原式=a^4+2a^2b^2+b^4-4a^2b^2
=a^4-2a^2b^2+b^4
=(a^2-b^2)^2
=[(a+b)(a-b)]^2
=(a+b)^2(a-b)^2
3、原式=（x+y）^2-4(x+y)(x-y)+[2(x-y)]^2
=[(x+y)-2(x-y)]^2
=(3y-x)^2
2.(x+y)²(x-y)²-(x-y)(x+y）(x²+y²)
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因式分解 -5x³y(x-y)³+20y【x²（y-x）】²
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(x-y)的四次方(x-y)-2(x-y)²(y-x）³等于?
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