Question

How do you simplify `(3x ^ { 2} + 5x - 1) + ( 3x ^ { 2} + 3x + 15) - ( 6x ^ { 2} - 13)`?

Answer 1

Since no terms within each set of parentheses are like terms, we can simplify this without the parentheses.

Note: since there is a - before `(6x^2 - 13)`, we multiply all terms inside it by -1, thus `-6x^2 + 13`

`3x^2 + 5x - 1 + 3x^2 + 3x + 15 - 6x^2 + 13`

Now group the like terms, and simplify.
`3x^2 + 3x^2 - 6x^2 + 5x + 3x - 1 + 15 + 13`

`8x + 27`

Answer 2

`8x+27`

Explanation:

`3x^2+5x-1`
`ul(3x^2+3x+15 larr" Add")`
`6x^2+8x+14`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`6x^2+8x+14`
`ul(6x^2+0x-13 larr" Subtract")`
`0x^2 +8x+27`

`color(white)()`

Answer `->8x+27`