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Factor the expression completely.

xy^(5)-x^(3)y^(4)
Answer:

Factor the expression completely.\newlinexy5x3y4 x y^{5}-x^{3} y^{4} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinexy5x3y4 x y^{5}-x^{3} y^{4} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression.\newlineThe GCF of xy5xy^5 and x3y4x^3y^4 is xy4xy^4, since it is the highest power of xx and yy that divides both terms.
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newlineWe write the expression as xy4(yx2)xy^4(y - x^2).
  3. Check for further factoring: Check if the remaining expression inside the parentheses can be factored further. The expression yx2y - x^2 cannot be factored further over the integers, so the factoring process is complete.
  4. Write final factored form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression is xy4(yx2)xy^4(y - x^2).

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