Factor the expression completely. xy^(5)+x^(3)y^(3) Answer:

Identify Factors: Identify the common factors in both terms of the expression xy^(5) and x^(3)y^(3). Both terms have an x and a y term, so we can factor out the smallest power of x and y from both terms.Factor Out Common Factors: Factor out the common factors from the expression. The smallest power of x is x and the smallest power of y is y^(3), so we factor out xy^(3). xy^(5) + x^(3)y^(3) = xy^(3)(y^(2) + x^(2))Check Factored Expression: Check the factored expression to ensure it is equivalent to the original expression when expanded. xy^(3)(y^(2) + x^(2)) = xy^(3)*y^(2) + xy^(3)*x^(2) = xy^(5) + x^(3)y^(3) The factored expression is equivalent to the original expression.

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Factor the expression completely.

xy^(5)+x^(3)y^(3)
Answer:

Factor the expression completely. $\newline$ $x y^{5}+x^{3} y^{3}$ $\newline$ Answer:

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Q. Factor the expression completely.

\newline

x y^{5}+x^{3} y^{3}

\newline

Answer:

Identify Factors: Identify the common factors in both terms of the expression $xy^{5}$ and $x^{3}y^{3}$ . Both terms have an $x$ and a $y$ term, so we can factor out the smallest power of $x$ and $y$ from both terms.
Factor Out Common Factors: Factor out the common factors from the expression. $\newline$ The smallest power of $x$ is $x$ and the smallest power of $y$ is $y^{3}$ , so we factor out $xy^{3}$ . $\newline$ $xy^{5} + x^{3}y^{3} = xy^{3}(y^{2} + x^{2})$
Check Factored Expression: Check the factored expression to ensure it is equivalent to the original expression when expanded. $\newline$ $xy^{3}(y^{2} + x^{2}) = xy^{3}*y^{2} + xy^{3}*x^{2} = xy^{5} + x^{3}y^{3}$ $\newline$ The factored expression is equivalent to the original expression.