Question

How do you find the product of `(8x^2 + 6y + 8) (y + 6)`?

Answer 1

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)(8x^2) + color(red)(6y) + color(red)(8))(color(blue)(y) + color(blue)(6))` becomes:

`(color(red)(8x^2) xx color(blue)(y)) + (color(red)(8x^2) xx color(blue)(6)) + (color(red)(6y) xx color(blue)(y)) + (color(red)(6y) xx color(blue)(6)) + (color(red)(8) xx color(blue)(y)) + (color(red)(8) xx color(blue)(6))`

`8x^2y + 48x^2 + 6y^2 + 36y + 8y + 48`

We can now combine like terms:

`8x^2y + 48x^2 + 6y^2 + (36 + 8)y + 48`

`8x^2y + 48x^2 + 6y^2 + 44y + 48`