# How much greater is (-14x^7 + 19x^6 - 17) " than " (5x^5 - 10x^4 + 18)?

May 30, 2018

$- 14 {x}^{7} + 19 {x}^{6} - 5 {x}^{5} + 10 {x}^{4} - 35$

#### Explanation:

To solve you must put the bigger expression on top and the smaller expression on the bottom and subtract.
We are told the first expression is greater.
$- 14 {x}^{7} + 19 {x}^{6} - 17$
$\underline{- \left(5 {x}^{5} - 10 {x}^{4} + 18\right)}$

Distribute the negative

$- 14 {x}^{7} + 19 {x}^{6} - 17$
$\underline{- 5 {x}^{5} + 10 {x}^{4} - 18}$

Now simplify the like terms
$- 14 {x}^{7} + 19 {x}^{6} - 5 {x}^{5} + 10 {x}^{4} - 35$