x^2+xy-2y^2+3x+3y+2怎么因式分解
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XX+XY-2YY+3X+3Y+2
=XX-YY+XY-YY+3X+3Y+2
=(X+Y)(X-Y)+y(X-y)+3X+3y+2
=(X-Y)(X+2Y)+X+2Y+2X+Y+2
=(X+2Y)(X-Y+1)+X-Y+1+X+2Y+1
=(X-Y+1)(X+2Y+1)+X+2Y+1
=(X+2Y+1)(X-Y+2)
=XX-YY+XY-YY+3X+3Y+2
=(X+Y)(X-Y)+y(X-y)+3X+3y+2
=(X-Y)(X+2Y)+X+2Y+2X+Y+2
=(X+2Y)(X-Y+1)+X-Y+1+X+2Y+1
=(X-Y+1)(X+2Y+1)+X+2Y+1
=(X+2Y+1)(X-Y+2)
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