How do you find the product #(6x-1)^2#?

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Answer 1 · 2017-02-05T12:11:53

See the entire solution process below:

First, we can rewrite this expression as:

#(6x - 1)(6x - 1)#

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(6x) - color(red)(1))(color(blue)(6x) - color(blue)(1))# becomes:

#(color(red)(6x) xx color(blue)(6x)) - (color(red)(6x) xx color(blue)(1)) - (color(red)(1) xx color(blue)(6x)) + (color(red)(1) xx color(blue)(1))#

#36x^2 - 6x - 6x + 1#

We can now combine like terms:

#36x^2 + (-6 - 6)x + 1#

#36x^2 -12x + 1#