Question

Show your work:
(5n^4 - 2n²) – (4n² + 4n^4) + (3n² + 2n^4)​

Answer 1

5n^4-2n^2-4n^2-4n^4+3n^2+2n^4
Collect terms
3n^4-3n^2

Answer 2

3
`n^(4)` - 3n²

Explanation:

(5
`n^(4)` - 2n²) - (4n² + 4
`n^(4)`) + (3n² + 2
`n^(4)`)

Remove parenthesis, distributing the second one by - 1

= 5
`n^(4)` - 2n² - 4n² - 4
`n^(4)` + 3n² + 2
`n^(4)` ← collect like terms

= (5 - 4 + 2)
`n^(4)` + (- 2 - 4 + 3)n²

= 3
`n^(4)` + (- 3)n²

= 3
`n^(4)` - 3n²