How do you simplify #(3x - 5) ( 5x - 17)#?

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Answer 1 · 2018-04-12T01:37:32

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)(3x) - color(red)(5))(color(blue)(5x) - color(blue)(17))# becomes:

#(color(red)(3x) xx color(blue)(5x)) - (color(red)(3x) xx color(blue)(17)) - (color(red)(5) xx color(blue)(5x)) + (color(red)(5) xx color(blue)(17))#

#15x^2 - 51x - 25x + 85#

We can now combine like terms:

#15x^2 + (-51 - 25)x + 85#

#15x^2 + (-76)x + 85#

#15x^2 - 76x + 85#