Factor completely: w^(6)-z^(6) Answer:

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Factor completely:  w^(6)-z^(6) Answer:

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Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Identify that the expression is a difference of two squares, which can be factored using the formula a^2 - b^2 = (a + b)(a - b). Step Calculation: Recognize that w^6 is (w^3)^2 and z^6 is (z^3)^2. Step Output: The expression is a difference of two squares.Apply Squares Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Apply the difference of squares formula to factor the expression. Step Calculation: Using the formula, we get (w^3 + z^3)(w^3 - z^3). Step Output: Factored form as a product of two binomials.Factor Further if Possible: Step Title: Factor Further if Possible Concise Step Description: Check if the resulting binomials can be factored further. Step Calculation: Both w^3 + z^3 and w^3 - z^3 are differences and sums of cubes, which can be factored further using the formulas a^3 + b^3 = (a + b)(a^2 - ab + b^2) and a^3 - b^3 = (a - b)(a^2 + ab + b^2). Step Output: Further factoring is possible.Factor Sum of Cubes: Step Title: Factor the Sum of Cubes Concise Step Description: Factor the sum of cubes using the appropriate formula. Step Calculation: Factor w^3 + z^3 using the sum of cubes formula to get (w + z)(w^2 - wz + z^2). Step Output: Factored form of the sum of cubes.Factor Difference of Cubes: Step Title: Factor the Difference of Cubes Concise Step Description: Factor the difference of cubes using the appropriate formula. Step Calculation: Factor w^3 - z^3 using the difference of cubes formula to get (w - z)(w^2 + wz + z^2). Step Output: Factored form of the difference of cubes.Combine Factored Forms: Step Title: Combine the Factored Forms Concise Step Description: Combine the factored forms of the sum and difference of cubes to get the final factored expression. Step Calculation: The final factored form is (w + z)(w - z)(w^2 - wz + z^2)(w^2 + wz + z^2). Step Output: Final factored expression.

Factor completely: $\newline$ $w^{6}-z^{6}$ $\newline$ Answer:

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Factor completely:\newlinew6−z6 w^{6}-z^{6} w6−z6\newlineAnswer:

Factor completely: $\newline$ $w^{6}-z^{6}$ $\newline$ Answer: