How do you multiply #(x + 6)(x − 6) #?

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Answer 1 · 2017-02-10T12:18:36

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)(6))(color(blue)(x) - color(blue)(6))# becomes:

#(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(6)) + (color(red)(6) xx color(blue)(x)) - (color(red)(6) xx color(blue)(6))#

#x^2 - 6x + 6x - 36#

We can now combine like terms:

#x^2 + (-6 + 6)x - 36#

#x^2 + 0x - 36#

#x^2 - 36#