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3: 1, 3 List the factors of the first term.
24: 1, 3, 4, 6, 8, 24 List the factors of the second term and find the GCF of both terms. This will tell us how many groups to make.
3x → x x x Split 3x into 3 equal groups.
24 → 8, 8, 8 Split 24 into 3 equal groups.
3(x + 8) Place the factor (3) outside the parentheses and place a single member from each group inside including the math symbol from the original problem.
So the final answer is 3(x + 8).
You can check your answer by using the distributive property:
3(x + 8) = 3(x) + 3(8) = 3x + 24
The expressions 3(x + 8) and 3x + 24 are equivalent.
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