Question

(x2+4x+8)+ (2x2 +5x+9)

Answer 1

`\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17`

Explanation:

Given the expression

`\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)`

solving the expression

`\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)`

remove the parentheses

`\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)=x^2+4x+8+2x^2+5x+9`

Group like terms

`=x^2+2x^2+4x+5x+8+9`

Add similar elements: x² + 2x² = 3x²

`=3x^2+4x+5x+8+9`

Add similar elements: 4x + 5x = 9x

`=3x^2+9x+8+9`

`=3x^2+9x+17`

Therefore, we conclude that:

`\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17`