# How do you factor the expression 27+36x?

May 23, 2017

See a solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(9 \times 3\right) + \left(9 \times 4 x\right)$

Now, factor a $9$ out of each term:

$9 \left(3 + 4 x\right)$

May 30, 2017

$= 9 \left(3 + 4 x\right)$

#### Explanation:

the first step in factorising is to look for any common factors.

$27 \mathmr{and} 36$ are both multiples of $3 \mathmr{and} 9$.

We use $9$ because it is the highest common factor:
Divide $9$ out of each term:

$27 + 36 x$

$= 9 \left(3 + 4 x\right)$

The reverse process would be to use the distributive law to multiply each term in the bracket by $9$.
This will give us the original expression:

$9 \left(3 + 4 x\right) = 27 + 36 x$