Answer:
[tex]\bold{q(x)=\{5x-12\}+\{-6x-12\}}[/tex]
Step-by-step explanation:
Where it says [tex]q(x)=a(x)+b(x)[/tex], it simply means: the answer to [tex]q(x)[/tex] is adding both functions, [tex]5x-12[/tex] ([tex]a(x)[/tex]) and [tex]-8\times2-6x+4[/tex] ([tex]b(x)[/tex]).
First, let us solve [tex]a(x)[/tex]
[tex]5x-12[/tex]
As we can see, this equation cannot be further simplified. So, this is our final result for this problem.
Next, let us solve [tex]b(x)[/tex]
[tex]-8\times2-6x+4[/tex]
Multiply -8 and 2
-8 × 2 = -16
[remember your integer rules: a negative times a negative is a positive.]
So we have:
[tex]-16-6x+4[/tex]
Combine like terms: -16 and 4 are terms that are alike based on them being integers, but -6x id not because it contains a variable. When you combine you are adding.
-16 + 4 = -12
Now we have:
[tex]-6x-12[/tex]
As we can see, this equation cannot be further simplified. So, this is our final result for this problem.
Lastly, combine these results.
[tex]q(x)=\{5x-12\}+\{-6x-12\}[/tex]
Therefore, that is the answer.
