Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

If $a = 11$, and $b = 9$, then the value of $\left(\frac{a^2+b^2+ab}{a^3-b^3}\right)$ is:

Options:

2

$\frac{1}{2}$

20

$\frac{1}{20}$

Correct Answer:

$\frac{1}{2}$

Explanation:

We have,

$a = 11$, and $b = 9$

So, put them in, $\left(\frac{a^2+b^2+ab}{a^3-b^3}\right)$

$\left(\frac{11^2+9^2+11×9}{11^3-9^3}\right)$

= \(\frac{301}{1331 - 729}\) = \(\frac{301}{602}\) = \(\frac{1}{2}\)