Question

(a+b) whole square -(a-b) whole square

Answer 1

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Answer 2

(a + b)² - (a - b)² = 4ab

Given :

The expression (a + b)² - (a + b)²

To find :

The simplify 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

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

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

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

$\sf = 2ab + 2ab$

$\sf = 4ab$

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