How do you simplify and express your answer as a quadratic in standard form #(x-1)^2#?

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Answer 1 · 2017-01-11T23:13:50

See full simplification process below:

First, rewrite this expression as:

#(color(red)(x) - color(red)(1))(color(blue)(x) - color(blue)(1))#

Next, multiple each term inside the left parenthesis by each term inside the right parenthesis:

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

#x^2 - x - x + 1#

Now combine like terms to express the answer in standard quadratic form:

#x^2 - 2x + 1#