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29 votes
29 votes
Factoring out: 30-12x

User Peter Walke
by
2.4k points

2 Answers

26 votes
26 votes

Answer:

3(10-4x)

Explanation:

both numbers go into 3

3(10-4x)

User Serikov
by
3.1k points
20 votes
20 votes

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).

User Christian Neverdal
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2.6k points