Answer :
Hey there!
The answer to your question is [tex]4x^2+2x-2[/tex]
Given:
[tex]x^2-3x+7[/tex] [tex]and[/tex] [tex]3x^2 +5x-9[/tex]
First, we can start by adding like terms. The following are like terms:
[tex]x^2[/tex] [tex]and[/tex] [tex]3x^2[/tex]
[tex]-3x[/tex] [tex]and[/tex] [tex]5x[/tex]
[tex]7[/tex] [tex]and[/tex] [tex]-9[/tex]
Now, we can add these pairs together, giving us:
[tex]4x^2[/tex]
[tex]2x[/tex]
[tex]-2[/tex]
Now, add all this together, and we get our answer as:
[tex]4x^2 + 2x - 2[/tex]
Have a terrificly amazing day!