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

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. The GCF of x^(3)y^(5) and x^(5) is x^(3), since x^(3) is the highest power of x that divides both terms.Factor out GCF: Factor out the GCF from the expression. We can write the expression as x^(3)(y^(5)) - x^(3)(x^(2)).Rewrite as product: Rewrite the expression as a product of the GCF and the remaining terms. The factored expression is x^(3)(y^(5) - x^(2)).Check for common factors: Check the factored expression to ensure it is fully factored and that there are no common factors remaining in the terms inside the parentheses. Since y^(5) and x^(2) do not share any common factors, the expression inside the parentheses cannot be factored further.

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Factor the expression completely.

x^(3)y^(5)-x^(5)
Answer:

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

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Algebra 2

Find trigonometric ratios using reference angles

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Q. Factor the expression completely.

\newline

x^{3} y^{5}-x^{5}

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. $\newline$ The GCF of $x^{3}y^{5}$ and $x^{5}$ is $x^{3}$ , since $x^{3}$ is the highest power of $x$ that divides both terms.
Factor out GCF: Factor out the GCF from the expression. $\newline$ We can write the expression as $x^{3}(y^{5}) - x^{3}(x^{2})$ .
Rewrite as product: Rewrite the expression as a product of the GCF and the remaining terms. $\newline$ The factored expression is $x^{3}(y^{5} - x^{2})$ .
Check for common factors: Check the factored expression to ensure it is fully factored and that there are no common factors remaining in the terms inside the parentheses. $\newline$ Since $y^{5}$ and $x^{2}$ do not share any common factors, the expression inside the parentheses cannot be factored further.