Question

How do you simplify $\left( 7-b \right)+\left( 3b+2 \right)$ ?

Answer 1

Hint: To simplify the given expression we need to use BODMAS Rule. We are going to open the parentheses to let the terms inside them combine with each other. Then we will combine like terms with each other to get the final answer.

Complete step by step answer:
We need to solve any expression according to following order-
B=Brackets
O=Of
D=Division
M=Multiplication
A=Addition and
S=Subtraction.
Firstly, we need to rearrange the terms within the parentheses to make further simplification simpler, i.e. to keep the terms with ‘b’ in them first, and then put the numbers. Here, on doing so, we will get
$\Rightarrow \left( -b+7 \right)+\left( 3b+2 \right)$
Now, eliminate the two redundant parentheses from the above expression that we rearranged, so as to let the terms in different brackets operate with each other.
We get,
$\Rightarrow -b+7+3b+2$.
Now, we need to add the all the numbers given in the expression above, i.e. 7 and 2, to simplify it a bit more,
$\Rightarrow -b+9+3b$
Now, we shall combine the similar terms to get the simplified version of the equation given in the question,
$\begin{align}
  & \Rightarrow -b+3b+9 \\
 & \Rightarrow 2b+9 \\
\end{align}$
Now, there are no like terms left for us to divide, multiply, add or subtract with each other. Therefore, our answer consists of only two terms which are ‘2b’ and ‘9’.
So, the simplified form of $\left( 7-b \right)+\left( 3b+2 \right)$ is $2b+9$ .

Note:
Do not forget to apply the BODMAS Rule while simplifying any expression or equation. Like, in this question, one will not be able to solve the question any further if he or she didn’t open the redundant parentheses, for the terms in different parentheses wouldn’t be able to add or subtract.