Question

Find the value of (x + y) 2  + (x – y) 2

Answer 1

Answer:

2x + 2y + 2x - 2y

= 4x + 2y - 2y

= 4x

Answer 2

Answer:

Solution :-

❂ (x + y)² + (x - y)²

➩ {(x)² + 2 × x × y + (y)²} + {(x)² - 2 × x × y + (y)²}

➩ {x² + 2xy + y²} + {x² - 2xy + y²}

➩ x² + 2xy + y² + x² - 2xy + y²

➩ x² + x² + 2xy - 2xy + y² + y²

➩ 2x² + 2y²

➩ 2(x² + y²)

∴ The answer of this question is 2(x² + y²)

Formula used :-

✵ (a + b)²

⇒ a² + 2ab + b²

✮ (a - b)²

➾ a² - 2ab + b²