已知多项A=2x²-3xy+2y²,B=2x²+xy-3y².如果A+B+C=0,求多项式C.
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已知多项A=2x²-3xy+2y²,B=2x²+xy-3y².如果A+B+C=0,求多项式C.
已知多项A=2x²-3xy+2y²,B=2x²+xy-3y².如果A+B+C=0,求多项式C.
已知多项A=2x²-3xy+2y²,B=2x²+xy-3y².如果A+B+C=0,求多项式C.
解A+B+C=0
即C=-A-B
=-(2x²-3xy+2y²)-(2x²+xy-3y²)
=-2x²+3xy-2y²-2x²-xy+3y²
=-4x²+2xy+y²
C=0-A-B
=0-(2x²-3xy+2y²)-(2x²+xy-3y²)
=0-2x²+3xy-2y²-2x²-xy+3y²
=-4x²+2xy+y²
A+B=4x²-2xy-y²
∵A+B+C=0
∴C=-(A+B)
=-4x²+2xy+y²