Question

Factorise ;- (x + y)² - 4(x - y)²
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Answer 1

( x + y ) ² - 4 ( x - y ) ²

solution

x ² + 2xy + y² - 4 ( x - y ) ²

x ² + 2xy + y² - 4 ( x ² - 2xy + y ² )

x ² + 2xy + y² - 4x ² + 8xy - 4y²

- 3x² + 2xy + y² + 8xy - 4y²

- 3x² + 10xy + y² - 4y²

- 3x² + 10xy - 3y²