Question

Find the difference of the following polynomials:
(-2r4 + 3r3 - 10) and (4r4 - p3 + 2r2 + 7).

Answer 1

`-6 r^(4)+4 r^(3)-2 r^(2)-17` is the difference between
`-2 r^(4)+3 r^(3)-20 \text { and } 4 r^(4)-p^(3)+2 r^(2)+7`

Explanation:

Given equations,

`-2 r^(4)+3 r^(3)-20 \text { and } 4 r^(4)-p^(3)+2 r^(2)+7`

Difference of the polynomial is written as

`=-2 r^(4)+3 r^(3)-20-\left(4 r^(4)-p^(3)+2 r^(2)+7\right)`

Open the brackets and multiply with -1 the whole expression
`\left(4 r^(4)-p^(3)+2 r^(2)+7\right)` becomes

`=-2 r^(4)+3 r^(3)-20-4 r^(4)+p^(3)-2 r^(2)-7`

`=-6 r^(4)+4 r^(3)-2 r^(2)-17`

This is the difference of given two polynomials is
`-6 r^(4)+4 r^(3)-2 r^(2)-17`.