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Factor the expression completely.x, to the power 4 , y, plus, y, to the power 5x 4 y+y 5

Question

Factor the expression completely.x, to the power 4 , y, plus, y, to the power 5x 4 y+y 5

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Solution

The expression given is x^4*y + y^5.

To factor this expression completely, we first look for the greatest common factor (GCF) in both terms. The GCF here is y.

So, we factor out y from both terms to get:

y*(x^4 + y^4)

This is the completely factored form of the given expression.

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