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

Identify Common Factors: Identify the common factors in both terms of the expression xy and x^3y^5. Both terms have an xy in common.Factor Out Common Factor: Factor out the common factor xy from both terms. xy(1 + x^2y^4)Check for Further Factoring: Check if the remaining expression inside the parentheses can be factored further. 1 + x^2y^4 cannot be factored further over the real numbers because it is not a difference of squares and does not have any common factors.Write Final Factored Form: Write down the final factored form of the expression. The completely factored form of the expression is xy(1 + x^2y^4).

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Q. Factor the expression completely.

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

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Answer:

Identify Common Factors: Identify the common factors in both terms of the expression $xy$ and $x^3y^5$ . Both terms have an $xy$ in common.
Factor Out Common Factor: Factor out the common factor $xy$ from both terms. $xy(1 + x^{2}y^{4})$
Check for Further Factoring: Check if the remaining expression inside the parentheses can be factored further. $\newline$ $1 + x^2y^4$ cannot be factored further over the real numbers because it is not a difference of squares and does not have any common factors.
Write Final Factored Form: Write down the final factored form of the expression. $\newline$ The completely factored form of the expression is $xy(1 + x^2y^4)$ .