Question

How do you simplify `(- 6x ^ { 2} - 5) - ( 8- 4x - 7x ^ { 2} )`?

Answer 1

= `x ^ { 2} + 4x - 13`

Explanation:

`(- 6x ^ { 2} - 5) - ( 8- 4x - 7x ^ { 2} )`

Open the parenthesis first:

= `- 6x ^ { 2} - 5 - 8 + 4x + 7x ^ { 2}`

Group the like terms and solve:

=`- 6x ^ { 2} + 7x ^ { 2} + 4x - 5 - 8`

= `x ^ { 2} + 4x - 13`

Answer 2

Combine all of the terms with similar variables.
`x^2 + 4x - 13`

Explanation:

`(−6x^2−5)−(8−4x−7x^2)`
There are no parenthetical, exponential or multiplicative factors, so we can just add the similar terms. Pay attention to the negative sign before the second set of values though - it changes all of the internal values.
`−6x^2−5 - 8 + 4x + 7x^2`

`−6x^2 + 7x^2 − 5 - 8 + 4x`

`x^2 + 4x - 13`