# The coefficient of x in the expansion of (x + 3)^{3} is

a. 1

b. 9

c. 18

d. 27

**Solution:**

It is given that

(x + 3)^{3}

Using the algebraic identity (a + b)^{3} = a^{3} + b^{3} + 3ab (a + b)

(x + 3)^{3} = x^{3} + 3^{3} + 3x (3) (x + 3)

By further simplification

(x + 3)^{3} = x^{3} + 27 + 9x (x + 3)

So we get

(x + 3)^{3} = x^{3} + 27 + 9x^{2} + 27x

Therefore, the coefficient of x is 27.

**✦ Try This: **The coefficient of x in the expansion of (x + 2)^{3} is

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 2

**NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 18**

## The coefficient of x in the expansion of (x + 3)^{3} is a. 1, b. 9, c. 18, d. 27

**Summary:**

A coefficient refers to a number or quantity placed with a variable. The coefficient of x in the expansion of (x + 3)^{3} is 27

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