Question

factorise the following Expression 6x-24​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

            Given data:-$6x-24.$

           To find:- Value of the above expression.

           Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step2 -then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

         $\Rightarrow6x-24\\\Rightarrow6(x-4)=0\\\Rightarrow x-4=0$

   Hence we will get the value $x=4.$  

Answer 2

Answer:

$6x-24=6(x-4)$.

Step-by-step explanation:

Given expression is $6x-24$.

We need to factorize the given expression.

Factorization or factoring consists of writing a number or another mathematical object as a product of several factors.

We can write the given expression as

$6.x-6.4$

Now, we know the product of a negative and a positive is negative.

So, we write

$6.x+6.(-4)$

Now taking 6 as common, we get

$6(x+(-4))$

$=6(x-4)$

So the factors are $6,(x-4)$.

After factoring, the given expression becomes $6(x-4)$.