Question
24x^(3)y^(4)-15xy^(2)-36^(2y3) find the gcf
Answers
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GPT 3.5
To find the greatest common factor (GCF) of the terms 24x^(3)y^(4), -15xy^(2), and 36^(2y3), we need to find the highest power of each variable that appears in all the terms.
For the variable x, the highest power that appears is x^(3) in the first term. Since x does not appear in the second or third term, the highest power of x that appears in all the terms is x^(0).
For the variable y, the highest power that appears is y^(4) in the first term. The second term contains y^(2), which is a lower power of y. The third term does not contain the variable y. Therefore, the highest power of y that appears in all the terms is y^(0).
For the constant term, there is no constant term in the first two terms. The third term, 36^(2y3), can be simplified but it does not include any common factors with the first two terms.
Therefore, the GCF of the given terms is 1.
For the variable x, the highest power that appears is x^(3) in the first term. Since x does not appear in the second or third term, the highest power of x that appears in all the terms is x^(0).
For the variable y, the highest power that appears is y^(4) in the first term. The second term contains y^(2), which is a lower power of y. The third term does not contain the variable y. Therefore, the highest power of y that appears in all the terms is y^(0).
For the constant term, there is no constant term in the first two terms. The third term, 36^(2y3), can be simplified but it does not include any common factors with the first two terms.
Therefore, the GCF of the given terms is 1.