计算:(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 17:21:58
计算:(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)

计算:(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)
计算:(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)

计算:(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)
(x+2y)(3x-5y)-(6x⁴y²-2x²y²)÷(2x²y²)
=(x+2y)(3x-5y)-2x²y²(3x²-1)÷(2x²y²)
=(3x²-5xy+6xy-10y²)-(3x²-1)
=3x²-5xy+6xy-10y²-3x²+1
=xy-10y²+1

原式=3x^2-5xy+6xy-10y^2-2x^2y^2(3x^2-1)/(2x^2y^2)
=3x^2+xy-10y^2-3x^2+1
=xy-10y^2+1

(x+2y)(3x-5y)-(6x的四次方y²-2x²y²)÷(2x²y²)
=3x²+xy-10y²-(3x²-1)
=3x²+xy-10y²- 3x²+1
=xy-10y²+1