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Factor the expression completely. x-x^(3)y Answer:

Factor the expression completely.\newlinex−x3y x-x^{3} y \newlineAnswer:

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Full solution

Q. Factor the expression completely.\newlinex−x3y x-x^{3} y \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms of the expression x−x3yx - x^{3}y. Both terms have an 'xx' in common.
  2. Factor Out 'x': Factor out the common 'x' from both terms. x(1−x2y)x(1 - x^{2}y)
  3. Check for Further Factoring: Check if the expression inside the parentheses can be factored further.\newlineThe expression 1−x2y1 - x^{2}y cannot be factored further since it does not have a common factor or is not a special polynomial like a difference of squares.
  4. Write Final Factored Form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression x−x3yx - x^{3}y is x(1−x2y)x(1 - x^{2}y).

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