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

Identify GCF: Identify the greatest common factor (GCF) of the terms xy^3 and x^3y. Both terms have 'x' and 'y' in common. The smallest power of 'x' is 1 and the smallest power of 'y' is also 1. Therefore, the GCF is xy.Factor out GCF: Factor out the GCF from the expression. xy(y^2 + x^2) We took out xy from both terms, leaving us with y^2 from the first term and x^2 from the second term.Check for further factorization: Check if the remaining expression y^2 + x^2 can be factored further. The expression y^2 + x^2 is a sum of squares, which cannot be factored over the real numbers. Therefore, the expression is already in its simplest factored form.

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Factor the expression completely.

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

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

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Algebra 2

Composition of linear and quadratic functions: find an equation

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Q. Factor the expression completely.

\newline

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

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms $xy^3$ and $x^3y$ . Both terms have ' $x$ ' and ' $y$ ' in common. The smallest power of ' $x$ ' is $1$ and the smallest power of ' $y$ ' is also $1$ . Therefore, the GCF is $xy$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ $xy(y^2 + x^2)$ $\newline$ We took out $xy$ from both terms, leaving us with $y^2$ from the first term and $x^2$ from the second term.
Check for further factorization: Check if the remaining expression $y^2 + x^2$ can be factored further. $\newline$ The expression $y^2 + x^2$ is a sum of squares, which cannot be factored over the real numbers. Therefore, the expression is already in its simplest factored form.