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Answer:

12(2V -7)

Step-by-step explanation:

Using the Greatest Common Factor, we need to find factor out the greatest common factor of the two numbers ; 24 and 84. That is; the greatest number that can divide 24 and 84

The easiest way to find the greatest common factors is;

1. To first find the factors of each number

2. Find the common factors of the two numbers

3. Find the greatest number among those factors

Factors are number that can divide a number without a remainder.

Factors of 24 are;   1, 2, 3, 6, 8, 12 and 24

Factors  of 84 are; 1, 2, 3, 6, 7, 12, 14, 42 and 84

common factors are the factors that are common between the two numbers. That is; factors we can find in 24 and as well as 84

common factors are;  1, 2, 3, 6, and 12

Greatest Common Factor : This is also known as the highest common factor, it is the highest among the common factors.

Greatest Common Factor is 12.

Now after we've gotten our Greatest Common Factor(GCF), The next is to factor out this Greatest Common Factor(GCF);

24v - 84 =  12(2v - 7)

Therefore, the factored form of 24v - 84 is  12(2v -7)

The factored form of the given expression is 12(2v-7)

Equations are expressions separated by an equal sign

Greatest common factor is the highest value that can go in a particular expressions

Given the expression 24v - 84

Find that factors of both terms

24v = 12 × 2v

84 = 12 × 7

Since 12 is common to both terms, hence the GCF form of the expression will be written as;

24v - 84 = 12(2v - 7)

Hence the factored form of the given expression is 12(2v-7)

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