Question

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

Answer 1

`-14x^7+19x^6-5x^5+10x^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.
`-14x^7+19x^6-17`
`ul(- (5x^5-10x^4+18))`

Distribute the negative

`-14x^7+19x^6-17`
`ul(- 5x^5+10x^4-18)`

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