# What is the standard form of  y= (x-1)^2+2x ?

Mar 25, 2018

$y = {x}^{2} + 1$

#### Explanation:

We have $y = {\left(x - 1\right)}^{2} + 2 x$

First expand:

$y = \left({x}^{2} - 2 x + 1\right) + 2 x$

Then combine similar terms:

$y = {x}^{2} + \left(2 x - 2 x\right) + 1$

$y = {x}^{2} + 1$

Remember to write all terms in order of decreasing degree (decreasing powers of $x$).