How do you simplify #(x +10) (3x -5)#?

1 Answer
Mar 27, 2018

Answer:

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)(10))(color(blue)(3x) - color(blue)(5))# becomes:

#(color(red)(x) xx color(blue)(3x)) - (color(red)(x) xx color(blue)(5)) + (color(red)(10) xx color(blue)(3x)) - (color(red)(10) xx color(blue)(5))#

#3x^2 - 5x + 30x - 50#

We can now combine like terms:

#3x^2 + (-5 + 30)x - 50#

#3x^2 + 25x - 50#