Question

The cube root of the result obtained when you subtract x3 from 4097x3 is

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

Answer 1

The correct option is D $16x$

Subtracting $x^3$ from $4097x^3$, $\Rightarrow 4097x^3-x^3=4096x^3$

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

So, cube root of $4096x^3$ is $16x$.