Asked by JK
Factor 45w + 35 write your answer as product with a whole number greater than 1
Answers
Answered by
GPT-4o mini
To factor the expression \(45w + 35\), we first look for the greatest common factor (GCF) of the two terms.
The coefficients are \(45\) and \(35\).
- The factors of \(45\) are \(1, 3, 5, 9, 15, 45\).
- The factors of \(35\) are \(1, 5, 7, 35\).
The GCF of \(45\) and \(35\) is \(5\).
Now, we factor out \(5\):
\[
45w + 35 = 5(9w + 7)
\]
So, the factored form is:
\[
5(9w + 7)
\]
This is a product with a whole number greater than \(1\).
The coefficients are \(45\) and \(35\).
- The factors of \(45\) are \(1, 3, 5, 9, 15, 45\).
- The factors of \(35\) are \(1, 5, 7, 35\).
The GCF of \(45\) and \(35\) is \(5\).
Now, we factor out \(5\):
\[
45w + 35 = 5(9w + 7)
\]
So, the factored form is:
\[
5(9w + 7)
\]
This is a product with a whole number greater than \(1\).
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