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Factor the expression completely.x, to the power 5 , y, squared, minus, x, cubed, y, cubedx 5 y 2 −x 3 y 3

Question

Factor the expression completely.x, to the power 5 , y, squared, minus, x, cubed, y, cubedx 5 y 2 −x 3 y 3

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Solution

Sure, let's factor the expression x^5y^2 - x^3y^3 step by step:

  1. First, identify the common factors in both terms. The common factors are x^3 and y^2.

  2. Factor out the common factors from the expression. This gives us:

    x^3y^2(x^2 - y)

So, the expression x^5y^2 - x^3y^3 factored completely is x^3y^2(x^2 - y).

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