Question

How do you combine `(a + 3a^2 + 2a^3) - (a^4 - a^3)`?

Answer 1

`(a + 3a^2 +2a^3) - (a^4 - a^3)`

`=a + 3a^2 +2a^3 - a^4 +a^3`

We group the Like Terms

`= (2a^3+a^3) - a^4 + a + 3a^2`
`= 3a^3 - a^4 + a + 3a^2`
`= color(green)( - a^4 +3a^3+ 3a^2+a`