Question

Find the cube of each of the following binomials expressions:

(i) $\frac{1}{x}+\frac{y}{3}$

(ii) $\frac{3}{x}-\frac{2}{x^2}$

(iii) $2x+\frac{3}{x}$

(iv) $4-\frac{1}{3x}$

Answer 1

In the given problem, we have to find cube of the binomial expressions

(i) Given

We shall use the identity

Here

By applying the identity we get

Hence cube of the binomial expression is

(ii) Given

We shall use the identity

Here

By applying the identity we get

Hence cube of the binomial expression of is

(iii) Given

We shall use the identity .

Here,

By applying identity we get

Hence cube of the binomial expression of is

(iv) Given

We shall use the identity

Here

By applying in identity we get

Hence cube of the binomial expression of is .