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Factor the expression completely.

x^(4)y^(4)+x^(3)y^(5)
Answer:

Factor the expression completely. $\newline$ $x^{4} y^{4}+x^{3} y^{5}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Factor the expression completely.

\newline

x^{4} y^{4}+x^{3} y^{5}

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. $\newline$ The GCF of $x^{4}y^{4}$ and $x^{3}y^{5}$ is $x^{3}y^{4}$ , because that is the highest power of $x$ and $y$ that divides both terms.
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ $x^{4}y^{4} + x^{3}y^{5} = x^{3}y^{4}(x) + x^{3}y^{4}(y)$
Combine factored terms: Combine the factored terms into a single expression. $x^{3}y^{4}(x + y)$

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