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NastiSeeu
@NastiSeeu
July 2022
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Срочно!!!! Нужно упростить выражение.
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sedinalana
1)((x+y)/(x-y)-(x²-xy+y²)/(x²+xy+y²)=
=[(x+y)(x²+xy+y²)-(x-y)(x²-xy+y²)/[(x-y)(x²+xy+y²)]=
=(x³+x²y+xy²+xy²+x²y+y³-x³+x²y-xy²=x²y-xy²+y³)/(x³-y³)=
=(4x²+2y³)/(x³-y³)=2y(2x²+y²)/(x³-y³)
2)x(y³-x³)/[y(y²-2x²)(y²+2x²)*2y(2x²+y²)/(x³-y³)=-2x/(y²-2x²)=2x/(2x-y)
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Answers & Comments
=[(x+y)(x²+xy+y²)-(x-y)(x²-xy+y²)/[(x-y)(x²+xy+y²)]=
=(x³+x²y+xy²+xy²+x²y+y³-x³+x²y-xy²=x²y-xy²+y³)/(x³-y³)=
=(4x²+2y³)/(x³-y³)=2y(2x²+y²)/(x³-y³)
2)x(y³-x³)/[y(y²-2x²)(y²+2x²)*2y(2x²+y²)/(x³-y³)=-2x/(y²-2x²)=2x/(2x-y)