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Answer :
Sure! To factor the expression [tex]\(10r - 15\)[/tex], we should look for the greatest common factor (GCF) of the two terms in the expression.
1. Identify the GCF:
- For the terms [tex]\(10r\)[/tex] and [tex]\(15\)[/tex], the GCF of 10 and 15 is 5.
2. Factor out the GCF:
- We divide each term in the expression by the GCF, which is 5.
- [tex]\(10r \div 5 = 2r\)[/tex]
- [tex]\(15 \div 5 = 3\)[/tex]
3. Write the factored expression:
- Once you factor out 5, the expression becomes [tex]\(5(2r - 3)\)[/tex].
So, the factored form of the expression [tex]\(10r - 15\)[/tex] is [tex]\(5(2r - 3)\)[/tex].
1. Identify the GCF:
- For the terms [tex]\(10r\)[/tex] and [tex]\(15\)[/tex], the GCF of 10 and 15 is 5.
2. Factor out the GCF:
- We divide each term in the expression by the GCF, which is 5.
- [tex]\(10r \div 5 = 2r\)[/tex]
- [tex]\(15 \div 5 = 3\)[/tex]
3. Write the factored expression:
- Once you factor out 5, the expression becomes [tex]\(5(2r - 3)\)[/tex].
So, the factored form of the expression [tex]\(10r - 15\)[/tex] is [tex]\(5(2r - 3)\)[/tex].
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