已知x^2+10xy+25y^2-1=0,化简x^3+5x^2y+x^2..

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已知x^2+10xy+25y^2-1=0,化简x^3+5x^2y+x^2..
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已知x^2+10xy+25y^2-1=0,化简x^3+5x^2y+x^2..
已知x^2+10xy+25y^2-1=0,化简x^3+5x^2y+x^2..

已知x^2+10xy+25y^2-1=0,化简x^3+5x^2y+x^2..
x^2+10xy+25y^2-1=0
(x+5y)²=1→x+5y=1或者x+5y=-1
x^3+5x^2y+x^2=x²(x+5y+1)
当x+5y=1时,原式=2x²
当x+5y=-1时,原式=0
祝愉快!