Question

Solve: (8k + k^2 − 6) − (−10k + 7 − 2k^2 ) =

Answer 1

`3k^2+18k-13`

Explanation:

Simplify each term. Apply the distributive property.

`8k+k^2-6-(10k)-1*7-(-2k^2)`

Simplify.

`8k+k^2-6+10k-7+2k^2`

Simplify by adding terms.

Add
`8k` to
`10k`.

`18k+k^2-6-7+2k^2`

Add
`k^2` and
`2k^2`.

`18k+3k^2-6-7`

Simplify the expression.

Subtract
`7` from
`-6`.

`19k+3k^2-13`

Reorder
`18k` and
`3k^2`

`=3k^2+18k-13`