Question

How do you simplify the expression \[g\left( 12+G \right)-9g-17\]?

Answer 1

Hint: In this problem, we have to simplify the given equation. We can now multiply the variable g inside the brackets, we can then simplify the terms. We can subtract the term with g. We will get a simplified form. We can now remove the brackets, as we have minus signs. We can further simplify it by taking the common term outside the equation, which will give a simplified form of the given equation.

Complete step by step solution:
We know that the given equation is,
\[g\left( 12+G \right)-9g-17\]
We can now multiply the variable g inside the bracket, we get
\[\Rightarrow \left( g12+gG \right)-9g-17\]
We can now remove the brackets, as we have minus sign there, we get
\[\Rightarrow g12+Gg-9g-17\]
We can now simplify the above step by subtracting the terms with g, we get
\[\Rightarrow 3g+gG-17\]
We can see that, we have common g in the above step, we can now take the common term g outside it, we get
\[\Rightarrow g\left( 3+G \right)-17\]
Therefore, the simplified form of the given equation \[g\left( 12+G \right)-9g-17\] is \[g\left( 3+G \right)-17\]

Note: Students make mistakes while simplifying the given equation, we should note that one of the terms is a capital G, which is different from the term small g. We should remember that we can remove the brackets to solve or simplify, if we have subtracting or adding terms over there. We should not remove the brackets if we have multiplication or division over there.