Question

factoring out: 30-12x

Answer 1

To factor the expression:

$30-12x$

We can follow the next steps:

1. We can see that 30 and 12 can be divided by 2, so we have 2 as a common factor:

$2\cdot(15-6x)$

2. We also can see that 15 and 6 can be divided by 3, so 3 is another common factor for this expression:

$2\cdot3\cdot(5-2x)$

Now, we can see that 5 and 2 are prime factors, and we cannot find any other factor. Therefore, the expression 30 - 12x can be factored as:

$2\cdot3\cdot(5-2x)=6\cdot(5-2x)$

Thus, the expression can be factored as 6(5 - 2x).