How do you multiply # (x - 5)(x - 2)#?

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Answer 1 · 2017-02-22T20:34:53

See the entire 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)(5))(color(blue)(x) - color(blue)(2))# becomes:

#(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(2)) - (color(red)(5) xx color(blue)(x)) + (color(red)(5) xx color(blue)(2))#

#x^2 - 2x - 5x + 10#

We can now combine like terms:

#x^2 + (-2 - 5)x + 10#

#x^2 - 7x + 10#