9(x+y)^2-16(2x+3y)^2和-x^3+2x^2y-xy^2因式分解

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9(x+y)^2-16(2x+3y)^2和-x^3+2x^2y-xy^2因式分解
9(x+y)^2-16(2x+3y)^2和-x^3+2x^2y-xy^2因式分解

9(x+y)^2-16(2x+3y)^2和-x^3+2x^2y-xy^2因式分解
原式=(3x+3y)²-(8x+12y)²
=[(3x+3y)+(8x+12y)][(3x+3y)-(8x+12y)]
=-(11x+15y)(5x+9y)
原式=-x(x²-2xy+y²)
=-x(x-y)²