Question

How do you factor the expression $12x^{2}+4x$?

Answer 1

Hint: In order to do this question, first you need to find out the term which is common in both the terms in the given equation. Here you can see that the term 4x is common in both terms of the equation. After removing the term you are left with an equation. You should multiply that total term with the 4x term to get the final answer.

Complete step by step solution:
Here is the step wise solution. The first for solving this equation is that we have to find the term which is common in both the terms of the equation in the question.
IN this question, we can see $4x$ is common in both terms.
So we have to take the 4x term common from the equation. After taking it out common, we are left with the term
$\Rightarrow 3x+1$
So, now we have to multiply the $4x$ term with the above equation. Therefore, we get the answer as
$\Rightarrow \left(3x+1\right)4x$
Therefore, the final question is how do you factor $12x^{2}+4x$, as $ \left(3x+1\right)4x$.

Note: In these types of questions, you always have to find the common term for the equation, After this, you can solve it easily. This question does not require any addition or subtraction. You can verify the answer by again multiplying the term outside the bracket with the terms inside the bracket using the distributive law and check if it matches with the question. If it matches, then it is the correct answer.