[x平方-2-y平方2]除[x平方-1 y平方-1不含负整数
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(x平方-y平方)/(x+y)+(x平方-2xy+y平方)/(x-y)=(x+y)(x-y)/(x+y)+(x-y)^2/(x-y)=x-y+x-y=2(x-y)
①-x+2y分之x-y除以x的平方+4xy+4y的平方分之x的平方-y的平方=-(x-y)/(x+2y)÷(x^2-y^2)/(x^2+4xy+4y^2)=-(x-y)/(x+2y)×(x^2+4xy
2x^2y(x-y)/{12xy^2(y-x)}=-2x^2y(y-x)/{12xy^2(y-x)}=-x/6y
【1-2x/(x+y)】÷(x^2-2xy+y^2)/(3x+3y)+(x^2+xy)/(x^2-y^2)=(x+y-2x)/(x+y)÷(x-y)^2/3(x+y)+x(x+y)/(x+y)(x-y
括号应该成对,还有一个括号在哪里?能不能把你的叙述用数学的语言表达出来?
x的平方-y的平方分之x的平方+2xy+y的平方除一x-y分之x的平方+xy,其中x=√2-1,y=√2+1=(x+y)^2/(x+y)(x-y)/((x^2+xy)/(x-y))=(x+y)/(x-
(3x平方-4y平方)+[-(x平方-2xy-y平方)]-[(3x平方-2xy-y平方)]=3x²-4y²-x²+2xy+y²-3x²+2xy+y
可以使用平方差公式:m^2-n^2=(m+n)(m-n)所以(2x+y)^2-(x+2y)^2=(2x+y+x+2y)(2x+y-x-2y)=(3x+3y)(x-y)=3(x+y)(x-y)
[(x的平方+y的平方)-(x-y)的平方+2y(x-y)]/4y=(x^2+y^2-x^2+2xy-y^2+2xy-2y^2)/4y=(2x-y)/2=4022/2=2011
(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方=(y+1)²+2*x²*(y²-1)+[x²(y-1)]²-2x²(y
x平方+y平方+2xy分之x平方-4y平方除以x平方+xy分之2y+x=(x-2y)(x+2y)/(x+y)²·x(x+y)/(x+2y)=x(x-2y)/(x+y)
{(x的平方+y的平方)-(x的平方-y的平方)+2y(x-y)}除4y=(2y^2+2y(x-y)/(4y)=2xy/(4y)=x/2
【证法1】(梅文鼎证明)作四个全等的直角三角形,设它们的两条直角边长分别为a、b,斜边长为c.把它们拼成一个多边形,使D、E、F在一条直线上.过C作AC的延长线交DF于点P.∵D、E、F在一条直线上,
x^2-4y^2-x+2y=(x+2y)(x-2y)-(x-2y)=(x-2y)(x+2y-1)x^2-2x-b^2-2b=(x+b)(x-b)-2(x+b)=(x+b)(x-b-2)
∵4x²-y²+2x-y=(2x-y)(2x+y)+(2x-y)=(2x-y)(2x+y+1)∴4x²-y²+2x-y=(2x-y)(2x+y+1)不懂得欢迎追
=(x+y)(x+y)(x^2-xy+y^2)(x^2-xy+y^2)=(x^3+y^3)^2
[(3x-3y)/(y平方-x平方)+(x平方-2xy+y平方)/(x平方-y平方)-(x平方-x+6)/(x+2)]/(x+y)=【-3/(x+y)+(x-y)/(x+y)-(x-3)]】/(x+y
^表示次方^2...2次方(1)(6x^2y^4-x^3y^3)÷(-2x^2y^2)=-(6/2)x^(2-2)y^(4-2)+(1/2)x^(3-2)y^(3-2)=-3y^2+(1/2)xy(2
(x²-4xy+4y²-4y²+2xy)/2x=(x²-2xy)/2x=x/2-y再问:a的平方(x-y)-4b的平方(x-y)再答:(x-y)(a²