Question

How do you simplify `(x + 11)(x^2 - 5x + 9)`?

Answer 1

Multiply each term in the parenthesis on the left by each term in parenthesis on the right. She 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)(11))(color(blue)(x^2) - color(blue)(5x) + color(blue)(9))` becomes:

`(color(red)(x) xx color(blue)(x^2)) - (color(red)(x) xx color(blue)(5x)) + (color(red)(x) xx color(blue)(9)) + (color(red)(11) xx color(blue)(x^2)) - (color(red)(11) xx color(blue)(5x)) + (color(red)(11) xx color(blue)(9))`

`x^3 - 5x^2 + 9x + 11x^2 - 55x + 99`

We can now group and combine like terms:

`x^3 - 5x^2 + 11x^2 + 9x - 55x + 99`

`x^3 + (-5 + 11)x^2 + (9 - 55x) + 99`

`x^3 + 6x^2 - 46x + 99`