Question

simplify a + b whole square + a minus b whole square​

Answer 1

Answer:

(a+b)^2 + (a-b)^2 =a^2+b^2+2ab+a^2+b^2-2ab

= 2a^2 +2b^2

= 2(a^2+b^2)

Answer 2

(a + b)² + (a - b)² = 2(a² + b² )

Given :

The expression (a + b)² + (a - b)²

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(a + b)² + (a - b)²

Step 2 of 2 :

Simplify the given expression

$\sf {(a + b)}^{2} + {(a - b)}^{2}$

$\sf = ( {a}^{2} + 2ab + {b}^{2} ) + ( {a}^{2} - 2ab + {b}^{2} )$

$\sf = {a}^{2} + 2ab + {b}^{2} + {a}^{2} - 2ab + {b}^{2}$

$\sf =2 {a}^{2} + 2 {b}^{2}$

$\sf =2 ( {a}^{2} + {b}^{2} )$

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