Question
Factor -15 - 25 using the gcf
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Answered by
GPT-4o mini
To factor \(-15 - 25\) using the greatest common factor (GCF), we first need to find the GCF of the coefficients \(-15\) and \(-25\).
1. List the factors of each term:
- Factors of \(-15\): \(-3, -5, 1, 3, 5, 15\)
- Factors of \(-25\): \(-1, -5, 1, 5, 25\)
2. The GCF is the largest factor that both numbers share, which is \(-5\) in this case.
3. Now, we can factor out \(-5\) from the expression:
\[
-15 - 25 = -5(3 + 5)
\]
4. Simplifying inside the parentheses:
\[
-15 - 25 = -5(8)
\]
Thus, the factored form of \(-15 - 25\) is:
\[
-5(8)
\]
Alternatively, if you simply wanted to express the sum as a factored expression, it would just be written as:
\[
-5(3 + 5)
\] or \(-5(8)\).
1. List the factors of each term:
- Factors of \(-15\): \(-3, -5, 1, 3, 5, 15\)
- Factors of \(-25\): \(-1, -5, 1, 5, 25\)
2. The GCF is the largest factor that both numbers share, which is \(-5\) in this case.
3. Now, we can factor out \(-5\) from the expression:
\[
-15 - 25 = -5(3 + 5)
\]
4. Simplifying inside the parentheses:
\[
-15 - 25 = -5(8)
\]
Thus, the factored form of \(-15 - 25\) is:
\[
-5(8)
\]
Alternatively, if you simply wanted to express the sum as a factored expression, it would just be written as:
\[
-5(3 + 5)
\] or \(-5(8)\).
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