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Factor the expression completely. xy+y^(5) Answer:

Factor the expression completely.\newlinexy+y5 x y+y^{5} \newlineAnswer:

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Full solution

Q. Factor the expression completely.\newlinexy+y5 x y+y^{5} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms of the expression xy+y5xy + y^5. Both terms have a 'yy' in common. In fact, yy is the greatest common factor (GCF) of the two terms.
  2. Factor Out GCF: Factor out the greatest common factor from the expression.\newlineThe expression can be factored as y(x+y4)y(x + y^4).
  3. Check Factored Expression: Check to ensure that the factored expression, when expanded, gives the original expression. \newliney(x+y4)=y⋅x+y⋅y4=xy+y5y(x + y^4) = y\cdot x + y\cdot y^4 = xy + y^5, which is the original expression.

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