Question

Find the cube root of the result obtained when you subtract $x^3$ from $4097x^3$.

• A. $4096x$
• B. $16x^3$
• C. $13x^2$
• D. $16x$

Answer 1

The correct option is D

$16x$

According to question, take the cube root of the difference;
= $\sqrt[3]{34097x^3-x^3}$
= $\sqrt[3]{34096x^3}$ = $\sqrt[3]{316\times 16\times 16x^3}$
=$16x$
So, cube root of $4096x^3-x^3$ is $16x$.