How do you find the product #(x-2)(x-2)#?

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Answer 1 · 2017-02-15T20:23:42

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)(2))(color(blue)(x) - color(blue)(2))# becomes:

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

#x^2 - 2x - 2x + 4#

We can now combine like terms:

#x^2 + (-2 - 2)x + 4#

#x^2 - 4x + 4#