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Answer :
Final answer:
The expression 28x^(3) + 20x^(5) can be rewritten using the common factor 4x^(3) to become 4x^(3)(7 + 5x^(2)).
Explanation:
To rewrite the expression 28x^(3) + 20x^(5) using a common factor, we first find the greatest common factor (GCF) of both terms. The GCF in this case is 4x^(3). This is because 4 is a factor of both 28 and 20, and x^(3) is common to both terms as well. So, we can rewrite the original expression as:
4x^(3)(7 + 5x^(2)).
This is done by dividing each term in the original expression by the common factor 4x^(3). This leaves 7 for the first term (because 28 divided by 4 is 7) and 5x^(2) for the second term (because 20x^(5) divided by 4x^(3) is 5x^(2)).
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