已知:A=X*X-3xy+y*y,B=2x*x+xy-3y*3y.求A+B,A-B,A+2B

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已知:A=X*X-3xy+y*y,B=2x*x+xy-3y*3y.求A+B,A-B,A+2B
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已知:A=X*X-3xy+y*y,B=2x*x+xy-3y*3y.求A+B,A-B,A+2B
已知:A=X*X-3xy+y*y,B=2x*x+xy-3y*3y.求A+B,A-B,A+2B

已知:A=X*X-3xy+y*y,B=2x*x+xy-3y*3y.求A+B,A-B,A+2B
A+B=(x²-3xy+y²)+(2x²+xy-9y²)
=x²-3xy+y²+2x²+xy-9y²
=3x²-2xy-8y²
A-B=(x²-3xy+y²)-(2x²+xy-9y²)
=x²-3xy+y²-2x²-xy+9y²
=-x²-4xy+10y²
A+2B=(x²-3xy+y²)+2(2x²+xy-9y²)
=x²-3xy+y²+4x²+2xy-18y²
=5x²-xy-17y²

A+B=X*X-3xy+y*y+2x*x+xy-3y*3y
=X²+2X²-3XY+XY+Y²-9Y²
=3X²-2XY-8Y²
A-B=X*X-3xy+y*y-(2x*x+xy-3y*3y)
=X²-2X²-3XY-XY+Y²+9Y²
=-X²-4XY+10Y²
A+2B=X*X-3xy+y*y+2(2x*x+xy-3y*3y)
=X²+4X²-3XY+2XY+Y²-18Y²
=5X²-XY-17Y²