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Answer :
To factor the expression [tex]\(10r - 15\)[/tex], follow these steps:
1. Identify the Greatest Common Factor (GCF):
Look for the largest number that can divide both terms, [tex]\(10r\)[/tex] and [tex]\(-15\)[/tex], without leaving a remainder. In this case, the GCF is 5.
2. Factor Out the GCF:
Divide each term of the expression by the GCF and write the expression as a product:
- [tex]\(10r \div 5 = 2r\)[/tex]
- [tex]\(-15 \div 5 = -3\)[/tex]
3. Write the Factored Expression:
Now, place the GCF outside of the parentheses and put the results from step 2 inside the parentheses:
[tex]\[
10r - 15 = 5(2r - 3)
\][/tex]
So, the factored form of [tex]\(10r - 15\)[/tex] is [tex]\(5(2r - 3)\)[/tex].
1. Identify the Greatest Common Factor (GCF):
Look for the largest number that can divide both terms, [tex]\(10r\)[/tex] and [tex]\(-15\)[/tex], without leaving a remainder. In this case, the GCF is 5.
2. Factor Out the GCF:
Divide each term of the expression by the GCF and write the expression as a product:
- [tex]\(10r \div 5 = 2r\)[/tex]
- [tex]\(-15 \div 5 = -3\)[/tex]
3. Write the Factored Expression:
Now, place the GCF outside of the parentheses and put the results from step 2 inside the parentheses:
[tex]\[
10r - 15 = 5(2r - 3)
\][/tex]
So, the factored form of [tex]\(10r - 15\)[/tex] is [tex]\(5(2r - 3)\)[/tex].
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