Question

Factorise fully 6m+18

Answer 1

6m+18
6(m+3)
that's the answer

Answer 2

Given:

The expression $6m+18$

To Find:

The full factorisation of the expression.

Solution:

$6(m+3)$ is the full factorisation of the given expression.

Calculation:

Factorisation is the process of "taking out" the common factor from an expression or "splitting up" a given expression into simpler, factor expressions.

To fully factorise any expression, we must write it as a product of expressions that are fully simplified. In other words, there are no other common factors that can be found between the expressions.

In the case of the given expression

$6m+18$

we can immediately see upon inspection that a common factor between the two terms 6m and 18 is 6.

So, we "take out" 6 from the expression and write it as follows

$6(m+3)$

We can see that the simplified expressions 6 and m+3 do not have any common factor any more.

So, we can say this is the full factorisation.