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

1 Answer
Feb 11, 2017

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