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Factor the expression completely.x, squared, y, squared, minus, x, cubedx 2 y 2 −x 3

Question

Factor the expression completely.x, squared, y, squared, minus, x, cubedx 2 y 2 −x 3

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Solution

The expression you provided is x^2y^2 - x^3. To factor this expression completely, you need to find the greatest common factor (GCF) first.

Step 1: Identify the GCF The GCF of x^2y^2 and x^3 is x^2.

Step 2: Factor out the GCF When you factor x^2 out of each term, you get:

x^2(y^2 - x)

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

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