Factor the expression completely. x^(2)y^(2)+xy Answer:

Identify common factors: Identify common factors in the terms of the expression. The expression is x^(2)y^(2)+xy. We can see that both terms have 'xy' as a common factor.Factor out common factor: Factor out the common factor from each term. We factor 'xy' out of each term to get xy(xy + 1).Check for further simplification: Check if the factored expression can be simplified further. The expression inside the parentheses, xy + 1, cannot be factored further since it has no common factors and is not a special polynomial (like a difference of squares or a perfect square trinomial).Write final factored expression: Write the final factored expression. The completely factored form of the expression is xy(xy + 1).

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Factor the expression completely.

x^(2)y^(2)+xy
Answer:

Factor the expression completely. $\newline$ $x^{2} y^{2}+x y$ $\newline$ 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^{2} y^{2}+x y

\newline

Answer:

Identify common factors: Identify common factors in the terms of the expression. The expression is $x^{2}y^{2}+xy$ . We can see that both terms have ' $xy$ ' as a common factor.
Factor out common factor: Factor out the common factor from each term. $\newline$ We factor $xy$ out of each term to get $xy(xy + 1)$ .
Check for further simplification: Check if the factored expression can be simplified further. $\newline$ The expression inside the parentheses, $xy + 1$ , cannot be factored further since it has no common factors and is not a special polynomial (like a difference of squares or a perfect square trinomial).
Write final factored expression: Write the final factored expression. $\newline$ The completely factored form of the expression is $xy(xy + 1)$ .