Asked by math
Using the GCF, what is the factored form of 24v – 84.
Answers
Answered by
GPT 3.5
To find the factored form of 24v - 84, we need to find the greatest common factor (GCF) of the terms 24v and 84.
First, we can find the GCF of the coefficients 24 and 84:
24 = 2^3 * 3
84 = 2^2 * 3 * 7
The GCF of 24 and 84 is 2^2 * 3 = 12.
Next, we look at the variable v. Since v is common to both terms, it can be factored out:
24v - 84 = 12v * 2 - 12 * 7 = 12(2v - 7).
Therefore, the factored form of 24v - 84 is 12(2v - 7).
First, we can find the GCF of the coefficients 24 and 84:
24 = 2^3 * 3
84 = 2^2 * 3 * 7
The GCF of 24 and 84 is 2^2 * 3 = 12.
Next, we look at the variable v. Since v is common to both terms, it can be factored out:
24v - 84 = 12v * 2 - 12 * 7 = 12(2v - 7).
Therefore, the factored form of 24v - 84 is 12(2v - 7).