Question

the value of (a+b)²+ (a+b)² is​

Answer 1

Answer:

We know that, (a+b)² = a² + b² + 2ab

Now, we have,

(a+b)² + (a-b)²

= (a² + b² + 2ab) + [a² + (-b)² + 2a(-b)]

= a² + b² + 2ab + a² + b² - 2ab

= 2a² + 2b²

$\ \bf {= 2(a²+b²)}$

Thus, we get,

$\bf(a+b)² + (a-b)² \:$

$\color{purple} \boxed{ = 2(a²+b²).}$