Question

Simplify (x + y)² - (x - y)² + 2xy - 3x²​

Answer 1

`\huge\boxed{\sf 6xy-3x^2}`

Explanation:

Given Expression:

(x + y)² - (x - y)² + 2xy - 3x²​

Formulas used:

• 
  `(x+y)^2=x^2+2xy+y^2`
• 
  `(x-y)^2=x^2-2xy+y^2`

Expand the above expression according to the formulas

`=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}`