Questions: Find the complete factored form of the polynomial: w^6 x^2 y^2 - w^5 x^2 y^3

Transcript text: Find the complete factored form of the polynomial: \[ w^{6} x^{2} y^{2}-w^{5} x^{2} y^{3} \] Enter the correct answer.

Solution

Solution Steps

Step 1: Identify the Polynomial

We start with the polynomial given in the problem: \[ w^{6} x^{2} y^{2} - w^{5} x^{2} y^{3} \]

Step 2: Factor Out Common Terms

We can factor out the common terms from both parts of the polynomial. The common factors are \( -w^{5} x^{2} y^{2} \): \[ w^{6} x^{2} y^{2} - w^{5} x^{2} y^{3} = -w^{5} x^{2} y^{2} \left( -w + y \right) \]

Step 3: Write the Complete Factored Form

The complete factored form of the polynomial is: \[ -w^{5} x^{2} y^{2} \left( -w + y \right) \]

Final Answer

\(\boxed{-w^{5} x^{2} y^{2} (y - w)}\)

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