Question

expand (x+1 ) using an identity​

Answer 1

Step-by-step explanation:

Question:- Expand (x+1 )^3 using an identity

Solution:- (x + 1)^3

We know that (x + y)^3 = x^3+y^3+3xy(x + y)

Here, x = x and y = 1, we get

(x + y)^3 = x^3 + (1)^3 +3(x)(1)(x + 1)

= x^3 + 1 + 3x(x + 1)

= x^3 + 1 + 3x^2 + 3x

= x^3 + 3x^2 + 3x + 1 Ans.

Used formulae:-

• (x + y)^3 = x^3+y^3+3xy(x + y)