Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a = 9.6, b = 4.44 and c = 5.16, then the value of $a^3 − b^3 − c^3 − 3abc$ is:

Options:

0

-1

2

1

Correct Answer:

0

Explanation:

a = 9.6, b = 4.44 and c = 5.16

= According to the question

= a3 – b3 – c3 – 3abc = (a – b – c )(a+ b2 + c2 – ab – bc – ac)

Now check if a - b - c = 0 then the value of$a^3 − b^3 − c^3 − 3abc$ will be equal to 0

a = 9.6, b = 4.44 and c = 5.16

9.6 - 4.44  -  5.16 = 0

So the value of $a^3 − b^3 − c^3 − 3abc$ = 0