Answer:
[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]
solving the expression
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]
remove the parentheses
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)=x^2+4x+8+2x^2+5x+9[/tex]
Group like terms
[tex]=x^2+2x^2+4x+5x+8+9[/tex]
Add similar elements: x² + 2x² = 3x²
[tex]=3x^2+4x+5x+8+9[/tex]
Add similar elements: 4x + 5x = 9x
[tex]=3x^2+9x+8+9[/tex]
[tex]=3x^2+9x+17[/tex]
Therefore, we conclude that:
[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]
