Question

Preform the operation (-9^2-2x) - (-9x^2-3x)

Answer 1

9x^2+ x - 81

Explanation:

`( - {9}^(2) - 2x) - ( - 9 {x}^(2) - 3x) \\ ( - 81 - 2x) + 9 {x}^(2) + 3x \\ - 81 - 2x \: + 9 {x}^(2) + 3x \\ - 81 + x + 9 {x}^(2) \\ 9 {x}^(2) + x - 81`

hope this helps

Answer 2

Answer:
`9x^2 +x-81`

Explanation:

Given:

(-9^2-2x) - (-9x^2-3x)

Rewrite using LaTeX:

`(-9^2-2x) - (-9x^2-3x)`

Distribute the negative:

`-9^2-2x + 9x^2 +3x`

Combine like terms:

`-9^2 + 9x^2 +x`

Exponent:

`-81 + 9x^2 +x`

Reorder:

`9x^2 +x-81`