Question

How do you expand and simplify $4\left( m-2 \right)\left( 3m-1 \right)$ ?

Answer 1

Hint: In this question we have been asked to simplify $4\left( m-2 \right)\left( 3m-1 \right)$. Here for doing that we will perform simple basic arithmetic operations like multiplication in between the terms of the given expression. Now we will do it as $\Rightarrow \left( 4m-8 \right)\left( 3m-1 \right)$ .

Complete step-by-step solution:
Now considering from the question we have been asked to simplify $4\left( m-2 \right)\left( 3m-1 \right)$.
Here for doing that we will perform simple basic arithmetic operations like multiplication in between the terms of the given expression.
Now we will perform multiplication between $4$ and $m-2$ in order to simplify the given expression. After doing that we will have $\Rightarrow \left( 4m-8 \right)\left( 3m-1 \right)$ .
Now we will again multiply the other two terms $4m-8$ and $3m-1$ of the expression after doing that we will have $\Rightarrow 12{{m}^{2}}-24m-4m+8$ .
Now we will add and subtract all the similar terms $-24m$ and $-4m$ for further simplifying the given expression and then we will have $\Rightarrow 12{{m}^{2}}-28m+8$ .
Therefore we can conclude that the given expression $4\left( m-2 \right)\left( 3m-1 \right)$ can be simplified and written as $12{{m}^{2}}-28m+8$.

Note: During the process of answering questions of this type we should be sure with our calculations that we perform in between. This is a very simple and easy question and can be answered in a short span of time. Very few mistakes are possible in questions of this type. Someone performed a calculation mistake and wrote it as $12{{m}^{2}}-23m+8$ which will lead us to end up having a wrong conclusion.