因式分解:27x^3+9x^2y+xy^2+(1/27)y^3
问题描述:
因式分解:27x^3+9x^2y+xy^2+(1/27)y^3
答
原式=(3x+y/3)^3
答
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...