### Home > AC > Chapter 12 > Lesson 12.4.2 > Problem12-78

12-78.

Multiple Choice: Which of the following expressions is equivalent to $x^2-12x+40$?

1. $\left(x-6\right)^2+4$

1. $\left(x-6\right)^2+28$

1. $\left(x-12\right)^2+4$

1. $\left(x-12\right)^2$

Multiply out each expression.

$\left. \begin{array} { l } { ( x - 6 ) ^ { 2 } + 4 } \\ { x ^ { 2 } - 12 x + 36 + 4 } \end{array} \right.$

$(x − 6)^2 + 28$
$x^2 − 12x + 36 + 28$

$\left. \begin{array} { l } { ( x - 12 ) ^ { 2 } + 4 } \\ { x ^ { 2 } - 12 x + 144 + 4 } \end{array} \right.$

$\left. \begin{array} { l } { ( x - 12 ) ^ { 2 } } \\ { x ^ { 2 } - 24 x + 144 } \end{array} \right.$

(a)