Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

What is the value of $(a+b)^2-(a-b)^2$ ?

Options:

$2\left(a^2+b^2\right)$

$4\left(a^2+b^2\right)$

8ab

4ab

Correct Answer:

4ab

Explanation:

(a+b)2−(a−b)2

= (a2+2ab+b2)−(a2−2ab+b2)

= a2+2ab+b2−a2+2ab−b2 = 4ab.