Answer: Hi!
To solve this, find the GCM (greatest common multiple) of 15 and 24.
We can do this by finding the prime factorization.
15/3 = 5
3·5
24/2 = 12
12/2 = 6
6/2 = 3
2·2·2·3 Both prime factorizations have the number 3 in common. So the GCM is 3.
Divide both numbers by 3.
15n/3 = 5n
-24/3 = -8
Since the GCM is 3, 3 goes outside the parentheses.
The numbers that go inside the parentheses are 5n-8
The answer is 3(5n-8)
You can check your answer by using the distribution property.
3·5n = 15n
3·(-8) = -24
15n-24
Hope this helps!
Step-by-step explanation:
