# How do you write the product as a trinomial (k - 2)(k - 1)?

Jul 23, 2015

$\left(k - 2\right) \left(k - 1\right) = {k}^{2} - 3 k + 2$
$\left(k - 2\right) \left(k - 1\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$= \left(k\right) \left(k - 1\right) + \left(- 2\right) \left(k - 1\right)$$\textcolor{w h i t e}{\text{XXXX}}$using distributive property
$\textcolor{w h i t e}{\text{XXXX}}$$= \left[{k}^{2} - 1 k\right] + \left[- 2 k + 2\right]$
$\textcolor{w h i t e}{\text{XXXX}}$$= {k}^{2} - 3 k + 2$