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

Jan 11, 2017

See full simplification process below:

#### Explanation:

First, rewrite this expression as:

$\left(\textcolor{red}{x} - \textcolor{red}{1}\right) \left(\textcolor{b l u e}{x} - \textcolor{b l u e}{1}\right)$

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

$\left(\textcolor{red}{x} \times \textcolor{b l u e}{x}\right) - \left(\textcolor{red}{x} \times \textcolor{b l u e}{1}\right) - \left(\textcolor{red}{1} \times \textcolor{b l u e}{x}\right) + \left(\textcolor{red}{1} \times \textcolor{b l u e}{1}\right)$

${x}^{2} - x - x + 1$

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

${x}^{2} - 2 x + 1$