(1)9(X-Y)^2-25 (2) (X^2-Y)^2-(2Y-2)^2
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/02 19:56:53
(1)9(X-Y)^2-25 (2) (X^2-Y)^2-(2Y-2)^2
(3)3X^6-3X^2 (4) (X+Y)^2-(Y-X)^2
(5) (A^2-2B)^2-(1-2B)^2
(6) 9X^4-36Y^2
(3)3X^6-3X^2 (4) (X+Y)^2-(Y-X)^2
(5) (A^2-2B)^2-(1-2B)^2
(6) 9X^4-36Y^2
(1)9(X-Y)^2-25
原式=[3(X-Y)-5][3(X-Y)+5]
=(3X-3Y-5)(3X-3Y+5)
(2)(X^2-Y)^2-(2Y-2)^2
原式=[(X^2-Y)-(2Y-2)][(X^2-Y)+(2Y-2)]
=(X^2-Y-2Y+2)(X^2-Y+2Y-2)
=(X^2-3Y+2)(X^2+Y-2)
(3)3X^6-3X^2
原式=3X^2(X^4-1)
=3X^2(X^2-1)(X^2+1)
=3X^2(X-1)(X+1)(X^2+1)
(4) (X+Y)^2-(Y-X)^2
原式=[(X+Y)-(Y-X)][(X+Y)+(Y-X)]
=(X+Y-Y+X)(X+Y+Y-X)
=2X*2Y
=4XY
(5)(A^2-2B)^2-(1-2B)^2
原式=[(A^2-2B)-(1-2B)][(A^2-2B)+(1-2B)]
=(A^2-2B-1+2B)(A^2-2B+1-2B)
=(A^2-1)(A^2-4B+1)
=(A-1)(A+1)(A^2-4B+1)
(6) 9X^4-36Y^2
原式=(3X^2-6Y)(3X^2+6Y)
=3(X^2-2Y)*3(X^2+2Y)
=9(X^2-2Y)(X^2+2Y)
原式=[3(X-Y)-5][3(X-Y)+5]
=(3X-3Y-5)(3X-3Y+5)
(2)(X^2-Y)^2-(2Y-2)^2
原式=[(X^2-Y)-(2Y-2)][(X^2-Y)+(2Y-2)]
=(X^2-Y-2Y+2)(X^2-Y+2Y-2)
=(X^2-3Y+2)(X^2+Y-2)
(3)3X^6-3X^2
原式=3X^2(X^4-1)
=3X^2(X^2-1)(X^2+1)
=3X^2(X-1)(X+1)(X^2+1)
(4) (X+Y)^2-(Y-X)^2
原式=[(X+Y)-(Y-X)][(X+Y)+(Y-X)]
=(X+Y-Y+X)(X+Y+Y-X)
=2X*2Y
=4XY
(5)(A^2-2B)^2-(1-2B)^2
原式=[(A^2-2B)-(1-2B)][(A^2-2B)+(1-2B)]
=(A^2-2B-1+2B)(A^2-2B+1-2B)
=(A^2-1)(A^2-4B+1)
=(A-1)(A+1)(A^2-4B+1)
(6) 9X^4-36Y^2
原式=(3X^2-6Y)(3X^2+6Y)
=3(X^2-2Y)*3(X^2+2Y)
=9(X^2-2Y)(X^2+2Y)
已知x-y=1,y≠0,求{(x+2y)²+(2x+y)(x+4y)-3(x+y)(x-y)}÷y的值.
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已知{(X的平方+Y的平方)-(X-Y)的差的平方+2Y(x-Y)}除以4Y=1
(x-y/x+2y)³
计算:(9x的平方+4y的平方)(3x+2y)(3x-2y)
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先化简再求值:(x-2y)²-(x+2y)(x-2y)-(x-3y)(x-y).其中x²+9y
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x的平方y(x-2y)²-xy²(2y-x)² 因式分解