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

1 Answer
Jan 11, 2017

Answer:

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#