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Factor completely.\newline9−x2y49-x^{2}y^{4}\newlineAnswer:

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Find tangent lines using implicit differentiationright chevron icon

Full solution

Q. Factor completely.\newline9−x2y49-x^{2}y^{4}\newlineAnswer:
  1. Identify Expression Type: Step Title: Identify the Expression Type\newlineConcise Step Description: Recognize that the given expression is a difference of squares.\newlineCalculation: The expression 9−x2y49 - x^2y^4 can be written as (3)2−(xy2)2(3)^2 - (xy^2)^2.\newlineMath Error Check:
  2. Apply Formula: Step Title: Apply the Difference of Squares Formula\newlineConcise Step Description: Use the difference of squares formula, which is a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b).\newlineCalculation: Apply the formula to the expression (3)2−(xy2)2(3)^2 - (xy^2)^2 to get (3−xy2)(3+xy2)(3 - xy^2)(3 + xy^2).\newlineMath Error Check:
  3. Write Final Form: Step Title: Write the Final Factored Form\newlineConcise Step Description: The expression is now fully factored.\newlineCalculation: The final factored form is (3−xy2)(3+xy2)(3 - xy^2)(3 + xy^2).\newlineMath Error Check:

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