How do you find the product (3c-5)(c+3)?

1 Answer
May 17, 2017

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)(3c) - color(red)(5))(color(blue)(c) + color(blue)(3)) becomes:

(color(red)(3c) xx color(blue)(c)) + (color(red)(3c) xx color(blue)(3)) - (color(red)(5) xx color(blue)(c)) - (color(red)(5) xx color(blue)(3))

3c^2 + 9c - 5c - 15

We can now combine like terms:

3c^2 + (9 - 5)c - 15

3c^2 + 4c - 15