Question

How do you find the product of `(4b+6)(b-4)`?

Answer 1

`4b^2 - 10b - 24`

Explanation:

To find the product of these two terms you need to first cross multiply each term in the parenthesis on the left by each term in the parenthesis on the right:

`(color(red)(4b + 6))(color(blue)(b - 4)) ->`

`(color(red)(4b) * color(blue)(b)) - (color(red)(4b) * color(blue)(4)) + (color(red)(6) * color(blue)(b)) - (color(red)(6) * color(blue)(4)) ->`

`4b^2 - 16b + 6b - 24`

Next we can combine like terms:

`4b^2 + (-16 + 6)b - 24`

`4b^2 + (-10)b - 24`

`4b^2 - 10b - 24`