Question

How do you multiply `(x+5)(x-3)`?

Answer 1

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis. See full 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)(5))(color(blue)(x) - color(blue)(3))` becomes:

`(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(3)) + (color(red)(5) xx color(blue)(x)) - (color(red)(5) xx color(blue)(3))`

`x^2 - 3x + 5x - 15`

We can now combine like terms:

`x^2 + (-3 + 5)x - 15`

`x^2 + 2x - 15`