Question

How do you find the product `(b+8)(b+2)`?

Answer 1

By multiplying, you can get `b^2+10b+16`

Explanation:

Multiply all terms `(b+8)(b+2)`
`b^2+2b+8b+16`
Arrange this as:

`b^2+10b+16`.

This is your answer.

Answer 2

See the entire solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(b) + color(red)(8))(color(blue)(b) + color(blue)(2))` becomes:

`(color(red)(b) xx color(blue)(b)) + (color(red)(b) xx color(blue)(2)) + (color(red)(8) xx color(blue)(b)) + (color(red)(8) xx color(blue)(2))`

`b^2 + 2b + 8b + 16`

We can now combine like terms:

`b^2 + (2 + 8)b + 16`

`b^2 + 10b + 16`