# How much greater is (20x^2 + 15x + 13) + (-19x^2 + 17x + 5)?

Jul 10, 2015

$\textcolor{red}{\left(20 {x}^{2} + 15 x + 13\right)} + \textcolor{b l u e}{\left(- 19 {x}^{2} + 17 x + 5\right)}$ is $\textcolor{g r e e n}{\left({x}^{2} + 32 x + 8\right)}$
and
$\textcolor{red}{\left(20 {x}^{2} + 15 x + 13\right)}$ is $\textcolor{g r e e n}{\left(39 {x}^{2} - 2 x + 8\right)}$ greater than $\textcolor{b l u e}{\left(- 19 {x}^{2} + 17 x + 5\right)}$

#### Explanation:

Interpretation 1
$\left.\begin{matrix}\null & \text{("20x^2+15x+13")" \\ "+" & "("-19x^2+17x+5")" \\ "=" & "("x^2+32x+18")}\end{matrix}\right.$

Interpretation 2
$\left.\begin{matrix}\null & \text{("20x^2+15x+13")" \\ "-" & "("-19x^2+17x+5")" \\ "=" & "("39x^2-2x+8")}\end{matrix}\right.$