分解因式4y的平方 20y 25
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原式=-y(4x²-4xy+y²)=-y(2x-y)²
4(x+2y)²-9(x-y)²=[2(x+2y)]²-[3(x-y)]²=[2(x+2y)+3(x-y)][2(x+2y)-3(x-y)]=(5x+y)(-x
4xy的平方-4x的平方y-y的三次方=y(4xy-4x^2-y^2)=-y(4x^2-4xy+y^2)=-y(2x-y)^2
3x的4次方+x的平方y-2y的平方=(x²+y)(3x²-2y)很高兴为您解答,【the1900】团队为您答题.请点击下面的【选为满意回答】按钮,再问:有过程吗,如果是一步的话有
(2x+3y)^2-4x^2=3y(4x+3y)
=7x²-4x²+4xy-y²=7x²-(2x-y)²=(√7x+2x-y)(√7x-2x+y)本题答案不唯一的
把x+y当做一个因子,7当做一个因子(x+y)^2-14(x+y)+49=(x+y)^2-2*7*(x+y)+7^2=(x+y-7)^2
原式=(2xy)²+xy+(1/4)²-17/16=(2xy+1/4)²-17/16=(2xy+1/4+√17/4)(2xy+1/4-√17/4)
题目有问题吧,我感觉应该是(x²+y²-z²)²-4x²y²(x²+y²-z²)²-4x²
=(x^2-4)^2-y^2=(x^2-4+y)(x^2-4-y)
原式=(x+y)(x+2y)+2(x+2y)=(x+2y)(x+y+2)希望我的回答能帮助到您,
=[(x+y)-2y]²=(x-y)²
x²-4y²=x²-(2y)²=(x+2y)(x-2y)这里用到了平方差公式.很高兴为您解答,祝你学习进步!如果我的回答对你有帮助,请及时选为满意答案,谢谢~~
2x^2-4xy+2y^2=2(x^2-2xy+y^2)=2(x-y)^2
5x²-15x³y-20xy²=5x(x-3x²y-20y²)(已为最简)
=4(x-y)²-4(x-y)+1=[2(x-y)-1]²=(2x-2y-1)²再问:4(x-y)²-4(x-y)+1到[2(x-y)-1]²是什么?
4(x-y)^3-8x(y-x)^2=4(y-x)^2(x-y-2x)=4(y-x)^2(-x-y)=-4(y-x)^2(x+y)秋风燕燕为您解答有什么不明白可以继续问,随时在线等.
y^3-4x^2y=y(y^2-4x^2)=y(y+2x)(y-2x)
(x^2+4y^2)^2-16x^2y^2=(x+4y)-(4xy)=(x+4y+4xy)(x+4y-4xy)=(x+2y)(x-2y)请采纳回答