Question

How do you multiply `(2x+1)(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)(2x) + color(red)(1))(color(blue)(x) + color(blue)(3))` becomes:

`(color(red)(2x) xx color(blue)(x)) + (color(red)(2x) xx color(blue)(3)) + (color(red)(1) xx color(blue)(x)) + (color(red)(1) xx color(blue)(3))`

`2x^2 + 6x + x + 3`

We can now combine like terms:

`2x^2 + (6 + 1)x + 3`

`2x^2 + 7x + 3`