Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify the following expression:

$\frac{(a^2-4b^2)^3 + 64(b^2-4c^2)^3 + (16c^2 - a^2)^3}{(a-2b)^3+ (2b-4c)^3 + (4c-a)^3}$

Options:

-(a + 2b)(b + 2c) (4c+ a)

2(a+2b) (b + 2c)(4c+ a)

(a + 2b)(b + 2c) (4c + a) 

4(a + 2b)(b + 2c) (4c+ a)

Correct Answer:

2(a+2b) (b + 2c)(4c+ a)