因式分解:27x^3+9x^2y+xy^2+(1/27)y^3
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因式分解:27x^3+9x^2y+xy^2+(1/27)y^3
原式=(27x³+1/27y³)+(9x²y+xy²)
=(3x+1/3y)(9x²-xy+1/9y²)+3xy(3x+1/3y)
=(3x+1/3y)(9x²-xy+1/9y²+3xy)
=(3x+1/3y)(9x²+2xy+1/9y²)
=(3x+1/3y)(3x+1/3y)²
=(3x+1/3y)³
=(3x+1/3y)(9x²-xy+1/9y²)+3xy(3x+1/3y)
=(3x+1/3y)(9x²-xy+1/9y²+3xy)
=(3x+1/3y)(9x²+2xy+1/9y²)
=(3x+1/3y)(3x+1/3y)²
=(3x+1/3y)³
因式分解:27x^3+9x^2y+xy^2+(1/27)y^3
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