[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 00:55:03
[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)

[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)
[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)

[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)
[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^2-1/2y^4)
用完全平方公式展开
=（18x^2+1/2y^4）（18x^2-1/2y^4）
用平方差公式
=18^2*x^4-1/4*y^8

题目中(18x^2-1/2y^4)应该是(18x^4-1/2y^4)吧？！如果是，解题如下：
[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^4-1/2y^4)
=[(9x^4 - 3x²y²+ 1/4 y^4)+(9x^4 + 3x²y²+ 1/4 y^4)](18x^4-1/2y^4)
=(18x^4 ...

全部展开

题目中(18x^2-1/2y^4)应该是(18x^4-1/2y^4)吧？！如果是，解题如下：
[(3x^2-1/2y^2)^2+(3x^2+1/2y^2)^2](18x^4-1/2y^4)
=[(9x^4 - 3x²y²+ 1/4 y^4)+(9x^4 + 3x²y²+ 1/4 y^4)](18x^4-1/2y^4)
=(18x^4 + 1/2 y^4)(18x^2-1/2y^4)
=324x^8 - (1/4)y^8

收起

x(x-y)2-(y-x)3 [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x x²/xy-x/y 3x/4x+y - x-2y/4x+y (1-y/y+x)÷x/y²-x² 化简 3x(x^2-x-1)-(x+1)(3x^-x) X^3(x-y)+x(y-x) 若2/x-1/y=3,求[y/x-y/x-y(x-y/x-x+y)]/x-2y/x的值 计算：x+2y/x-y+2x/y-x-3y/x-y 化简:(x-3y)(x+y)-(x-2y)(x+2y)-(x-y)平方 [(3x+y)(x-y)-(2x+3y)(x-y)]*(x-y) (3x-y)^2+(3x+y)(3x-y),x=1,y=-2 二元一次方程 ：2(x+y)-(x-y)=3 (x+y)-2(x-y)=1 (x-y)/(x+y)=3求( 3x-2y-1)/(x+y-5) 2(x+y)-3(x-y)=1 6(x+y)+(x-y)=51 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1 变量x,y满足约束条件,x+y>=3,x-y>=-1,2x-y (Y-X)^3*(X-Y)^m+(X-Y) ^m+1*(Y-X)^2