Question

formula of (a+b)2-(a-b)2
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Answer 1

(a+b)2-(a-b)2

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

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

= 2ab + 2ab

= 4ab

Answer 2

$\sf {(a + b)}^{2} - {(a - b)}^{2} = 4ab$

Given : (a + b)² - (a - b)²

To find : The formula

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(a + b)² - (a - b)²

Step 2 of 2 :

Find the value

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

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

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

$\sf = 2ab + 2ab$

$\sf = 4ab$

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