# How do you simplify (4x^2 -11x + 10) + (5x - 31)?

Jul 31, 2016

$4 {x}^{2} - 6 x - 21$

#### Explanation:

Begin by writing the expression without the brackets. Since there is no numeric value written outside the bracket we can assume there is a 1.

That is $1 \left(4 {x}^{2} - 11 x + 10\right) + 1 \left(5 x - 31\right)$

Hence $\to 4 {x}^{2} - 11 x + 10 + 5 x - 31$

now $\textcolor{b l u e}{\text{collect like terms}}$

$\textcolor{red}{4 {x}^{2}} \textcolor{m a \ge n t a}{- 11 x + 5 x} \textcolor{b l u e}{+ 10 - 31} = 4 {x}^{2} - 6 x - 21$