Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Find the value of $ ( p + 2q)^2 - (p -2q)^2$ 

Options:

10pq

8 pq

4 pq

6 pq

Correct Answer:

8 pq

Explanation:

We know that,

a2 - b2 = (a + b)(a - b).

(p + 2q)2 - (p - 2q)2

= (p + 2q)2 - (p - 2q)2

= p2 + 4q2 + 4pq - p2 - 4q2 + 4pq

= 8pq.