Answer:
[tex]\huge\boxed{\sf 6xy-3x^2}[/tex]
Step-by-step explanation:
Given Expression:
(x + y)² - (x - y)² + 2xy - 3x²
Formulas used:
- [tex](x+y)^2=x^2+2xy+y^2[/tex]
- [tex](x-y)^2=x^2-2xy+y^2[/tex]
Expand the above expression according to the formulas
[tex]=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}[/tex]
