# How much greater is (11x^2 + 5x + 6) + (18x^2 + 17x + 17)?

Jun 19, 2015

answer 1:  = color(red)(-7x^2 - 12x -11
answer 2$= \textcolor{red}{29 {x}^{2}} + \textcolor{b l u e}{22 x} + 23$

#### Explanation:

There are two interpretations for the above question:

• How much greater is $\left(11 {x}^{2} + 5 x + 6\right)$ than $\left(18 {x}^{2} + 17 x + 17\right)$

Here we need to subtract:
$11 {x}^{2} + 5 x + 6$
$\textcolor{red}{-} 18 {x}^{2} \textcolor{red}{-} 17 x \textcolor{red}{-} 17$
 = color(red)(-7x^2 - 12x -11

• The second interpretation is to perform addition as the addition sign has been used in the question.

Grouping like terms:
$= \textcolor{red}{\left(11 {x}^{2} + 18 {x}^{2}\right)} + \textcolor{b l u e}{\left(5 x + 17 x\right)} + \left(6 + 17\right)$
$= \textcolor{red}{29 {x}^{2}} + \textcolor{b l u e}{22 x} + 23$