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What is the value of (a + b)² – (a – b) ²?
Question

What is the value of (a + b)² – (a – b) ²?

A.

2(a² + b²)

B.

4(a² + b²)

C.

8ab

D.

4ab

Correct option is D

Given:

(a+b)2(ab)2(a + b)^2 - (a - b)^2​​

Formula used:

(a+b)2=a2+2ab+b2(ab)2=a22ab+b2(a + b)^2 = a^2 + 2ab + b^2(a – b)^2 = a^2 – 2ab + b^2​​

Solution:

(a+b)2(ab)2 =>(a2+2ab+b2)(a22ab+b2)=>4ab(a + b)^2 - (a - b)^2 \\\ \\^=> (a^2 + 2ab + b^2) - (a^2 – 2ab + b^2)=> 4ab​​

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