Question

what is the value of (a+b)² - (a-b)² ?​

Answer 1

we know that,

(a+b)² = a²+2ab+b²

and

(a-b)² = a²+b²-2ab

According to question :--

(a²+2ab+b²)-(a²-2ab+b²)

a²+2ab+b²-a²+2ab-b²

4ab

Hence,

Value of (a+b)² - (a-b)² is 4ab

here is your answer.....

Answer 2

(a + b)² - (a - b)² = 4ab

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 :

Find the value of the expression

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

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

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

$\sf = 4ab$

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