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

1 Answer
Jan 11, 2017

Answer:

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#