因式分解:4x^4+6x^2y-9y^4-9y^3
问题描述:
因式分解:4x^4+6x^2y-9y^4-9y^3
答
4x^4+6x^2y-9y^4-9y^3=4x^4-9y^4 +6x²y-9y³=(2x²+3y²)(2x²-3y²)+3y(2x²-3y²)=(2x²-3y²)(2x²+3y²+3y)
因式分解:4x^4+6x^2y-9y^4-9y^3
4x^4+6x^2y-9y^4-9y^3=4x^4-9y^4 +6x²y-9y³=(2x²+3y²)(2x²-3y²)+3y(2x²-3y²)=(2x²-3y²)(2x²+3y²+3y)