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Factor the expression completely.

24 x+15
Answer:

Factor the expression completely. $\newline$ $24 x+15$ $\newline$ Answer:

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Solve equations with variable exponents

Full solution

Q. Factor the expression completely.

\newline

24 x+15

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $24x + 15$ . The GCF of $24$ and $15$ is $3$ because it is the largest number that divides both $24$ and $15$ without leaving a remainder.
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ The expression $24x$ can be written as $3 \times 8x$ , and the expression $15$ can be written as $3 \times 5$ . $\newline$ So, factoring out the GCF of $3$ from the expression gives us $3(8x + 5)$ .
Check for Further Factoring: Check to see if the expression inside the parentheses can be factored further. $\newline$ The expression $8x + 5$ does not have a common factor other than $1$ , and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.

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