Question

6. Find (G + G) then subtract H from the result H = (2x^2 + 6x + 5) and G = (6x^2 + 3x + 5)

Answer 1

ANSWER

$10x^2\text{ + 5}$

EXPLANATION

We have that:

$\begin{gathered} G=6x^2\text{ + 3x + 5} \\ \text{and} \\ H=2x^2\text{ + 6x + 5} \end{gathered}$

Let us find G + G:

$\begin{gathered} 6x^2\text{ + 3x + 5 + }6x^2\text{ + 3x + 5} \\ 6x^2+6x^2\text{ + 3x + 3x + 5 + 5 } \\ 12x^2\text{ + 6x + 10} \end{gathered}$

Now, let us subtract H:

$\begin{gathered} 12x^2+6x+10-(2x^2\text{ + 6x + 5)} \\ 12x^2+6x+10-2x^2\text{ - 6x - 5} \\ 12x^2-2x^2\text{ + 6x - 6x + 10 - 5} \\ \Rightarrow10x^2\text{ }+\text{ 5} \end{gathered}$

That is the answer