Question

Find the following expression by multiplying
(A+b)^3

Answer 1

`a^3 + 3a^2b + 3ab^2 + b^3`

Explanation:

Hope This Helps :)

Answer 2

Given expression: (A+b)^3.

We can expand it into three factors as (A+b)(A+b)(A+b).

First we would foil (A+b)(A+b) =
`A^2 + Ab+Ab+ b^2`

Combining like terms, we get

=
`A^2 +2Ab + b^2`

Now, we would multiply (A^2 +2Ab + b^2) and (A+b).

=
`A^3 + A^2b + 2A^2b+2Ab^2 + Ab^2+ b^3`

Combining like terms, we get

`=A^3+3A^2b+3Ab^2+b^3`

Therefore,

`\left(A+b\right)^3=\quad A^3+3A^2b+3Ab^2+b^3`