# How do you write 3(x-7)^2-4 in standard form?

Mar 17, 2016

$3 {x}^{2} - 42 x + 143$

#### Explanation:

Given expression:$\text{ } 3 {\left(x - 7\right)}^{2} - 4$

This is the same as:

$\text{ } \textcolor{b r o w n}{3 \textcolor{g r e e n}{\left(x - 7\right)} \textcolor{b l u e}{\left(x - 7\right)} - 4}$

Which is the same as

$\text{ } \textcolor{b r o w n}{3 \left[\textcolor{w h i t e}{.} \textcolor{g r e e n}{x} \textcolor{b l u e}{\left(x - 7\right)} \textcolor{g r e e n}{- 7} \textcolor{b l u e}{\left(x - 7\right)} \textcolor{w h i t e}{.}\right] - 4}$

$3 \left[{x}^{2} - 7 x - 7 x + 49\right] - 4$

$3 \left[{x}^{2} - 14 x + 49\right] - 4$

$3 {x}^{2} - 42 x + 147 - 4$

$3 {x}^{2} - 42 x + 143$