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Factor the expression completely.

xy+x^(5)y^(5)
Answer:

Factor the expression completely.\newlinexy+x5y5 x y+x^{5} y^{5} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinexy+x5y5 x y+x^{5} y^{5} \newlineAnswer:
  1. Identify Common Factors: Identify common factors in both terms.\newlineBoth terms xyxy and x5y5x^{5}y^{5} have xyxy in common.
  2. Factor Out Common Factor: Factor out the common factor.\newlineFactor out xyxy from both terms to get xy(1+x4y4)xy(1 + x^{4}y^{4}).
  3. Check for Additional Factors: Check for any additional factors.\newlineThe term inside the parentheses, 1+x4y41 + x^{4}y^{4}, cannot be factored further using real numbers, as it is a sum of two terms where one is not the square of the other.
  4. Write Final Factored Form: Write the final factored form.\newlineThe completely factored form of the expression is xy(1+x4y4)xy(1 + x^{4}y^{4}).

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