Respuesta :

Answer:   3x(2x - 1)

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Explanation:

We can rewrite 6x^2 into 3x*2x, and we can write 3x as 3x*1

So 6x^2 - 3x can be turned into 3x*2x - 3x*1

Note the repeated "3x". This is the GCF that can be factored out

3x*2x - 3x*1 = 3x(2x-1)

I'm using the distribution rule that says a*b - a*c = a(b - c)

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To check the answer, multiply the outer 3x term with each term inside

3x*2x = 6x^2

3x*1 = 3x

So that's how we go from 3x(2x-1) back to 6x^2 - 3x

Answer:

3x(2x - 1)

Step-by-step explanation:

6x^2 - 3x

To factorize the above, do the following:

x is common to both terms. Therefore, it can be written as:

x(6x - 3)

A careful observation of the above equation suggests that 3 is also common to both terms. Therefore it can be written as:

3x(2x - 1)

Therefore, 3x(2x - 1) is the factorized equation for 6x^2 - 3x