x^2(3x+5y)^2-y^2(5x+3y)^2
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/05 08:06:07
x^2(3x+5y)^2-y^2(5x+3y)^2
x²(3x+5y)²-y²(5x+3y)²
=[x(3x+5y)]²-[y(5x+3y)]²
=(3x²+5xy)²-(5xy+3y²)²
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+5xy+5xy+3y²)(3x²+5xy-5xy-3y²)
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)
再问: 那么10xy到哪去了?
再答: (3x+y)(x+3y)=3x²+10xy+3y²
=[x(3x+5y)]²-[y(5x+3y)]²
=(3x²+5xy)²-(5xy+3y²)²
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+5xy+5xy+3y²)(3x²+5xy-5xy-3y²)
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)
再问: 那么10xy到哪去了?
再答: (3x+y)(x+3y)=3x²+10xy+3y²
数学(x-y)^5*(y-x)^3*(x-y)^2
已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y)
(2X-3y)-(5x-y)
先化简再求值(x-y)(x+y)-(x-2y) 的完全平方+x(3x-5y)-(x-y)(x-2y),其中x=1/2 y
[(x+2y)(x-2y)-(2x-y)^2+(3x-y))2x-5y)]/(-x)
2(2x+3y)(3x+2y)-(6x-y)(2x-5y)
[(x+2y)^2 -(x+y)(3x-y)-5y^2]÷2x
化简:[(x+2y)^2-(x+y)(3x-y)-5y^2]/2x
(2x -y)(3x-2y)+(y-x)(2x-5y)
(2x-y)(3x-2y)+(y-x)(2x+5y)
(x+2)(x+3) (x-4)(x+1) (y+4)(y-2) (y-5)(y-3)
5(x-y)^2-(x-y)-8(x-y)^2-3(x-y)