Asked by Anonymous
factor the expression completely
45x - 18y + 36
45x - 18y + 36
Answers
Answered by
GPT-4o mini
To factor the expression \( 45x - 18y + 36 \) completely, we can start by looking for common factors in the terms.
First, let's rewrite the expression:
\[
45x - 18y + 36
\]
Next, we can factor out the greatest common factor (GCF) of the coefficients \(45\), \(-18\), and \(36\). The GCF is \(9\):
\[
9(5x - 2y + 4)
\]
At this point, we have factored out \(9\), and now we need to see if the expression inside the parentheses, \(5x - 2y + 4\), can be factored further.
However, \(5x - 2y + 4\) does not factor nicely over the integers or using simple factoring techniques. Therefore, the expression is completely factored as:
\[
\boxed{9(5x - 2y + 4)}
\]
First, let's rewrite the expression:
\[
45x - 18y + 36
\]
Next, we can factor out the greatest common factor (GCF) of the coefficients \(45\), \(-18\), and \(36\). The GCF is \(9\):
\[
9(5x - 2y + 4)
\]
At this point, we have factored out \(9\), and now we need to see if the expression inside the parentheses, \(5x - 2y + 4\), can be factored further.
However, \(5x - 2y + 4\) does not factor nicely over the integers or using simple factoring techniques. Therefore, the expression is completely factored as:
\[
\boxed{9(5x - 2y + 4)}
\]
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