Question

How do you add `(x ^ { 2} + 3x + 5) + ( x ^ { 2} + x + 2)`?

Answer 1

`2x^2 +4x +7`

Explanation:

Combine like terms as follows:

`(x^2 +x^2) + (3x+x) +(5+2)`

Or, `2x^2 +4x+7`

Answer 2

`2x^2+4x+7`

Explanation:

Removing the brackets gives.

`color(red)(x^2)color(white)(x)color(blue)(+3x)color(white)(x)color(magenta)(+5)color(white)(x)color(red)(+x^2)color(white)(x)color(blue)(+x)color(white)(x)color(magenta)(+2)`

collecting like terms.

`=color(red)(x^2+x^2)color(blue)(+3x+x)color(magenta)(+5+2)`

`=2x^2+4x+7`