Factor the expression completely. x^(4)y^(2)-x^(2)y^(5) Answer:

Identify Common Factors: Identify the common factors in both terms. We look for the highest power of x and y that is present in both terms of the expression x^(4)y^(2)-x^(2)y^(5). The common factors are x^(2) and y^(2).Factor Out Common Factors: Factor out the common factors from both terms. We take out x^(2)y^(2) as the common factor from both terms. x^(4)y^(2) - x^(2)y^(5) = x^(2)y^(2)(x^(4-2)y^(2-5))Simplify Inside Parentheses: Simplify the expression inside the parentheses. We subtract the exponents of the common factors from the original exponents. x^(4-2)y^(2-5) = x^(2)y^(-3)Write Final Factored Expression: Write the final factored expression. The completely factored form of the expression is: x^(2)y^(2)(x^(2)y^(-3))

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Factor the expression completely.

x^(4)y^(2)-x^(2)y^(5)
Answer:

Factor the expression completely. $\newline$ $x^{4} y^{2}-x^{2} y^{5}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Factor the expression completely.

\newline

x^{4} y^{2}-x^{2} y^{5}

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Answer:

Identify Common Factors: Identify the common factors in both terms. We look for the highest power of $x$ and $y$ that is present in both terms of the expression $x^{4}y^{2}-x^{2}y^{5}$ . The common factors are $x^{2}$ and $y^{2}$ .
Factor Out Common Factors: Factor out the common factors from both terms. $\newline$ We take out $x^{2}y^{2}$ as the common factor from both terms. $\newline$ $x^{$4$}y^{$2$} - x^{$2$}y^{$5$} = x^{$2$}y^{$2$}(x^{$4$$-2$}y^{$2$$-5$})
Simplify Inside Parentheses: Simplify the expression inside the parentheses.$\newline$We subtract the exponents of the common factors from the original exponents.$\newline$$x^{(4-2)}y^{(2-5)} = x^{2}y^{-3}$
Write Final Factored Expression: Write the final factored expression.$\newline$The completely factored form of the expression is:$\newline$$x^{2}y^{2}(x^{2}y^{-3})$