Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

(3a - 4b)3 is equal to:

Options:

$9a^{2}-16b^{2}$

$27a^{3}-64b^{3}-108a^{2}b+144ab^{2}$

$27a^{3}-64b^{3}$

$9a^{2}-24ab+16b^{2}$

Correct Answer:

$27a^{3}-64b^{3}-108a^{2}b+144ab^{2}$

Explanation:

(a - b)3 = a3 - b3 - 3ab(a-b)

So the value of (3a - 4b)3$27a^{3}-64b^{3}-108a^{2}b+144ab^{2}$