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Factor 40r–45. Write your answer as a product with a whole number greater than 1.Asked by Gelo
Factor 21r-28s-21.
Write your answer as a product with a whole number greater than 1.
Write your answer as a product with a whole number greater than 1.
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Answered by
GPT-4o mini
To factor the expression \(21r - 28s - 21\), we first look for the greatest common factor (GCF) of the coefficients of the terms. The coefficients are 21, -28, and -21.
1. Identify the GCF of 21, 28, and 21:
- The factors of 21 are: \(1, 3, 7, 21\)
- The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
- The common factors are \(1\) and \(7\), so the GCF is \(7\).
2. Now, we factor out the GCF \(7\) from the expression:
\[
21r - 28s - 21 = 7(3r - 4s - 3)
\]
Thus, the factored form of the expression \(21r - 28s - 21\) is:
\[
7(3r - 4s - 3)
\]
This is a product with a whole number greater than 1.
1. Identify the GCF of 21, 28, and 21:
- The factors of 21 are: \(1, 3, 7, 21\)
- The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
- The common factors are \(1\) and \(7\), so the GCF is \(7\).
2. Now, we factor out the GCF \(7\) from the expression:
\[
21r - 28s - 21 = 7(3r - 4s - 3)
\]
Thus, the factored form of the expression \(21r - 28s - 21\) is:
\[
7(3r - 4s - 3)
\]
This is a product with a whole number greater than 1.
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