Question

the value of (a+b)2-(a-b)2 is​

Answer 1

Step-by-step explanation:

(a+b)²-(a-b)²

a²+b²+2ab-a²-b²+2ab

4ab Ans.

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

Formula :

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

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

We use the formulas

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

Thus the given expression

= (a + b)² - (a - b)²

= ( a² + 2ab + b² ) - ( a² - 2ab + b² )

= a² + 2ab + b² - a² + 2ab - b²

= 4ab

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