Factor the expression 3x^2 - 6x

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3x (x - 2)

Step-by-step explanation:

Factorise the expression 3x² - 6x

When factorising, you aim is to 'simplify' the expression by taking out a common factor. A common factor is a term, coefficient or integer which occurs in both the terms in the expression

We want to factorise the expression 3x² - 6x

We can see that 3 could be a common factor as well as x

So

We factor out 3x out of 3x² and - 6x

3x (x - 2)

3x (x - 2)

Step-by-step explanation:

In order to factor we need to simplify our terms, right?

So if we want to simplify, we have to find common factors between the terms!

Between the two terms the greatest common factor is 3x

3x multiplied by x gives you 3x^2

3x multiplied by - 2 gives you - 6x

This simplifies to 3x^2 - 6x