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Factor the expression completely.x, to the power 5 , y, squared, plus, x, cubedx 5 y 2 +x 3

Question

Factor the expression completely.x, to the power 5 , y, squared, plus, x, cubedx 5 y 2 +x 3

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Solution

The expression you provided is: x^5*y^2 + x^3.

To factor this expression completely, we look for the greatest common factor (GCF) in both terms.

The GCF of x^5*y^2 and x^3 is x^3.

So, we factor out x^3 from both terms:

x^3 * (x^2*y^2 + 1)

So, the factored form of the expression x^5y^2 + x^3 is x^3 * (x^2y^2 + 1).

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