计算〔2x+3y〕〔3x-5y〕-〔x+y〕〔x-y〕

问题描述:

计算〔2x+3y〕〔3x-5y〕-〔x+y〕〔x-y〕

(2x+3y)(3x-5y)-(x+y)(x-y)
=6x^2-xy-15y^2-x^2+y^2
=5x^2-xy-14y^2

(2x+3y)(3x-5y)-(x+y)(x-y)
=(6x²-10xy+9xy-15y²)-(x²-y²)
=5x²-xy-14y²

=2x(3x-5y)+3y(3x-5y)-(x²-y²)
=6x²-10xy+9xy-15y²-x²+y²
=5x²-xy-14y²