Question

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

Answer 1

To solve, multiply each individual term in the left parenthesis by each individual term in the right parenthesis and then combine like terms. See full process below:

Explanation:

To solve, first multiply each individual term in the left parenthesis by each individual term in the right parenthesis:

`(color(red)(x^2) - color(red)(3))(color(blue)(x^2) + color(blue)(2))` becomes:

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

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

We can now combine like terms:

`x^4 + (2- 3)x^2 - 6`

`x^4 - x^2 - 6`