Question

What is the answer for (4r3+3r4)-(r4-5r3)

Answer 1

`(4r^3+3r^4)-(r^4-5r^3)=r^3(9+2r)`

Explanation:

we are given expression as

`(4r^3+3r^4)-(r^4-5r^3)`

Firstly, we will distribute negative sign

and we get

`(4r^3+3r^4)-(r^4-5r^3)=4r^3+3r^4-r^4+5r^3`

now, we can combine like terms

`(4r^3+3r^4)-(r^4-5r^3)=4r^3+5r^3+3r^4-r^4`

`(4r^3+3r^4)-(r^4-5r^3)=9r^3+3r^4-r^4`

`(4r^3+3r^4)-(r^4-5r^3)=9r^3+2r^4`

now, we can factor it

`(4r^3+3r^4)-(r^4-5r^3)=r^3(9+2r)`

so, we get

`(4r^3+3r^4)-(r^4-5r^3)=r^3(9+2r)`

Answer 2

Answer:
`9r^(3) +2r^(4)`

Explanation:

1. You have thte following equation given in the problem above:

`(4r^(3) +3r^(4))-(r^(4)-5r^(3))`

2. Then, you must multiply each sign of the terms inside the parentheses by the negative sign that is outside of the parentheses:

`4r^(3) +3r^(4)-r^(4)+5r^(3)`

3. Now, you must add the like terms. Then, you obtain the following result:

`9r^(3) +2r^(4)`