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Factor 40r–45. Write your answer as a product with a whole number greater than 1.Question
Factor 20q–5r–45s.
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 \(20q - 5r - 45s\), we start by identifying the greatest common factor (GCF) of the coefficients 20, -5, and -45.
The factors of each coefficient are:
- 20: \(1, 2, 4, 5, 10, 20\)
- -5: \(1, 5\)
- -45: \(1, 3, 5, 9, 15, 45\)
The GCF of 20, 5, and 45 is 5.
Now, we can factor out 5 from the expression:
\[
20q - 5r - 45s = 5(4q - r - 9s)
\]
Thus, the factored form of the expression is:
\[
5(4q - r - 9s)
\]
This is the answer as a product with a whole number greater than 1.
The factors of each coefficient are:
- 20: \(1, 2, 4, 5, 10, 20\)
- -5: \(1, 5\)
- -45: \(1, 3, 5, 9, 15, 45\)
The GCF of 20, 5, and 45 is 5.
Now, we can factor out 5 from the expression:
\[
20q - 5r - 45s = 5(4q - r - 9s)
\]
Thus, the factored form of the expression is:
\[
5(4q - r - 9s)
\]
This is the answer as a product with a whole number greater than 1.
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