Question

How do you simplify `(x + 2)(2x^2 + 3)`?

Answer 1

See a solution 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)(2))(color(blue)(2x^2) + color(blue)(3))` becomes:

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

`2x^3 + 3x + 4x^2 + 6`

We can write this in standard form as:

`2x^3 + 4x^2 + 3x + 6`