已知x y=-3,x的三次方加y的三次方等于-18求x的七次方加y的七次方
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![已知x y=-3,x的三次方加y的三次方等于-18求x的七次方加y的七次方](/uploads/image/f/4226171-59-1.jpg?t=%E5%B7%B2%E7%9F%A5x+y%3D-3%2Cx%E7%9A%84%E4%B8%89%E6%AC%A1%E6%96%B9%E5%8A%A0y%E7%9A%84%E4%B8%89%E6%AC%A1%E6%96%B9%E7%AD%89%E4%BA%8E-18%E6%B1%82x%E7%9A%84%E4%B8%83%E6%AC%A1%E6%96%B9%E5%8A%A0y%E7%9A%84%E4%B8%83%E6%AC%A1%E6%96%B9)
A-B=x³+2y³-xy²-(-y³+x³+2xy²)=x³+2y³-xy²+y³-x³
已知x+y=1,则x^3+y^3+3xy=(x+y)(x^2-xy+y^2)+3xy=1×(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=x^2+2xy+y^2=(x+y)^2=1^2
/>根据非负数之和为0得x+1=02(y-2)=0解得x=-1y=2于是x³-3xy+y³=-1³-3×(-1)×2+2³=-1+6+8=13
x^3y-2x^2y^2+xy^3=x^3y+2x^2y^2+xy^3-4x^2y^2=xy(x^2+2xy+y^2)-4x^2y^2=xy(x+y)^2-4x^2y^2=12×7×7-4×12×12
X2+Y2-4X-6Y+13=0X2-4X+4+Y2-6Y+9=0(X2-4X+4)+(Y2-6Y+9)=0(x-2)2 +(y-3)2=0所以,x-2=0 x=2y-
已知x=4/5,y=-1/5,求x三次方-y的三次方+3x平方y-3xy的平方x三次方-y的三次方+3x平方y-3xy的平方=(x-y)³=[4/5-(-1/5)]³=(4/5+1
x³y+2x²y²+xy³=xy(x²+2xy+y²)=xy(x+y)²=1×3²=9
已知A=x³+2y³-xy²,B=-y³+x³+2xy²,其中x等于1\3,y等于2A-B=(x³+2y³-xy
已知x+y=1,则x^3+y^3+3xy=(x+y)(x^2-xy+y^2)+3xy=1×(x^2-xy+y^2)+3xy=x^2-xy+y^2+3xy=x^2+2xy+y^2=(x+y)^2=1^2
x的三次方y的平方+x的平方y三次方=x²y²(x+y)=(xy)²(x+y)=(-2)²*(-3)=-12
-xy(x²y的五次方-xy的三次方-y)=-x³y的6次方+x²y的4次方+xy²=-(xy²)³+(xy²)²+xy
由题可知,x+y+1=0,xy+3=0即得x+y=-1,xy=-3(x+y)²=x²+2xy+y²∴(-1)²=x²+2×(-3)+y²即x
原式等于(xy)^2(x+y)将x+y=2,xy=4代入,得原式等于16×2=32
解x-y=5两边平方x²-2xy+y²=25∵xy=3∴x²+y²=25+2xy=25+6=31∴x³y+xy³=xy(x²+y&
x的三次方y-xy的三次方=xy(x²-y²)=xy(x+y)(x-y)=-3x0x(x-y)=0如果本题有什么不明白可以追问,如有其它问题,请谅解,
x³-y³-x²y+xy²=(x³-y³)-(x²y-xy²)=(x-y)(x²+xy+y²)-xy