Answer:
9
Step-by-step explanation:
So first step is to subtract [tex]3x^2+4x[/tex] from [tex]7x^2+x+9[/tex]. In setting this up you get the following expression
[tex](7x^2+x+9)-(3x^2+4x)[/tex]
Distribute the negative
[tex]7x^2+x+9-3x^2-4x[/tex]
Group like terms
[tex](7x^2-3x^2)+(x-4x)+9[/tex]
Simplify:
[tex]4x^2-3x+9[/tex]
Now subtract [tex]4x^2-3x[/tex]. In setting this up you get the following expression
[tex](4x^2-3x+9)-(4x^2-3x)[/tex]
Distribute the negative:
[tex]4x^2-3x+9-4x^2+3x[/tex]
Group like terms
[tex](4x^2-4x^2) + (-3x+3x) + 9[/tex]
Simplify:
[tex]9[/tex]
