Question

How do you simplify `(x + 4)(x + 7)`?

Answer 1

See the entire simplification 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)(x) + color(red)(4))(color(blue)(x) + color(blue)(7))` becomes:

`(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(7)) + (color(red)(4) xx color(blue)(x)) + (color(red)(4) xx color(blue)(7))`

`x^2 + 7x + 4x + 28`

We can now combine like terms:

`x^2 + (7 + 4)x + 28`

`x^2 + 11x + 28`