当x=-2,y=-2分之1时,求代数式(x^2-2y^2)(x+2y)-2xy(x-y)的值。 要有过程哦
当x=-2,y=-2分之1时,求代数式(x^2-2y^2)(x+2y)-2xy(x-y)的值。 要有过程哦
您好:
(x^2-2y^2)(x+2y)-2xy(x-y)
=(x+y)(x-y)(x+2y)-2xy(x-y)
=(x-y)[(x+y)(x+2y)-2xy]
=(x-y)(x²+3xy+y²-2xy)
=(x-y)(x²+xy+y²)
=x³-y³
=(-2)³-(-1/2)³
=-8+1/8
=-7又7/8
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当x=2,y=1时,求代数式(x的平方-2y的平方)(x+2y)-2xy(x-y)的值
解:
原式=x²×x+x²×2y-2y²×x-2y²×2y-2xy×x+2xy×y
=x³+2x²y-2xy²-4y³-2x²y+2xy²
=x³-4y³
=2³-4×1³
=8-4
=4
已知2x=y,求代数式[(x^2+y^2)-(x-y)^2+2y(x-y)]/4y的值(要有过程)
直接乘开得到
[X^2+Y^2-X^2+2XY-Y^2+2XY-2Y^2]/4Y=(4XY-2Y^2)/4Y=X-Y/2
有因为2X=Y所以X=Y/2
所以 原式=0
当x=-1 y=-2时求代数式[2x^2-(x+y)(x-y)][(-x-y)(-x+y)+2y^2]的值
[2x^2-(x+y)(x-y)][(-x-y)(-x+y)+2y^2]
=[2x^2-x^2+y^2][x^2-y^2+2y^2]
=(x^2+y^2)^2
=(1+4)^2
=25
【2x^2-(x+y)(x-y)】【(-x-y)(-x+y)+2y^2】
=(2x²-x²+y²)(x²-y²+2y²)
=(x²+y²)(x²+y²)
=(x²+y²)²
当x=-1,x=-2时
原式=(1+5)²=36
1.当x=2 y=1/2时,求代数式(x+y)(x-y)+(x-y)-(x-3xy )的值? 2.当x+y=8 x-y=6,求x -y-2x-2y的值?
第一题答案:=X平方-Y平方+X平方+Y平方-2XY-X平方+3XY =X平方+XY =2*2+2*1/2 =5 第二题答案:=(x+y)(x-y)-2(x+y) =(x+y)(x-y-2) =8*(6-2) =8*4 =32 希望楼主采纳、谢谢!
当x=-2,y=1时,求代数式.(-2xy)^·(-y^)·6xy^的值
(-2xy)^2·(-y^2)·6xy^2
=4x^2y^2·(-6xy^4)
=-24x^3y^6
=-24×(-2)^3×1^6
=-24×(-8)
=192
x+2y分之x-y=3,则代数式,x+2y分之2(x-y)-3(x-y)分之x+2y的值为
x+2y分之2(x-y)等于6 3(x-y)分之x+2y等于1/9 所以相减为53/9
已知x-y=4xy且xy≠0,求代数式-x-2xy+y分之2x+3xy-2y的值 过程
∵x-y=4xy
∴原式=[2(x-y)+3xy]/[-(x-y)-2xy]
=(8xy+3xy)/(-4xy-2xy)
=11xy/(-6xy)
=-11/6
当x=2,y=2分之1时,求代数式(x+y)(x-y)+(x-y)的2次方-(x的2次方-3xy)的值?
=X平方-Y平方+X平方+Y平方-2XY-X平方+3XY
=X平方+XY
=2*2+2*1/2
=5