Question

Expand (x + 1) using an identity.​

Answer 1

Answer:

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

= x³ + 1 + 3x (x + 1)

= x³ + 1 + 3x² + 3x

= x³ + 3x² + 3x + 1

Answer 2

Answer:

(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+1)

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