Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Find the following expression by multiplying.
(a + b)3

Answer 1

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

Explanation:

If have
`(a+b)^3`, we can solve this as:

`(a+b)(a+b)(a+b)`

So, applying distribution with the first two factors and simplifying, we get:

`(a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)`

Then, multiplying both expressions and simplifying again, we get:

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