Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

$(a+2b)^2 -(a -2b)^2$ is equal to :

Options:

10ab

6ab

8ab

4ab

Correct Answer:

8ab

Explanation:

(x + y)2 = x+ y2 + 2xy

(x - y)2 = x2 + y2 - 2xy

 (a + 2b)2 - (a - 2b)2

= a2 + 4b2 + 4ab - (a+ 4b2 - 4ab)

= a2 + 4b2 + 4ab - a2 - 4b2 + 4ab

= 8ab