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

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Answer 1 · 2018-03-27T00:56:31

See a solution process below:

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#