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

Identify Factors: Identify the common factors in both terms of the expression xy + x^(3)y. Both terms have an 'x' and a 'y' in them. The smallest power of 'x' present in both terms is x^1. Common factor: xyFactor Out Common Factor: Factor out the common factor from each term in the expression. (xy)(1) + (xy)(x^2) = xy(1 + x^2)Check for Further Factoring: Check to see if the expression inside the parentheses can be factored further. The expression 1 + x^2 cannot be factored further over the real numbers because it is not a difference of squares and has no common factors.Write Final Factored Form: Write the final factored form of the expression. The completely factored form of the expression is xy(1 + x^2).

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Factor the expression completely.

xy+x^(3)y
Answer:

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

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Math Problems

Grade 8

Solve equations with variable exponents

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Q. Factor the expression completely.

\newline

x y+x^{3} y

\newline

Answer:

Identify Factors: Identify the common factors in both terms of the expression $xy + x^{3}y$ . Both terms have an ' $x$ ' and a ' $y$ ' in them. The smallest power of ' $x$ ' present in both terms is $x^1$ . Common factor: $xy$
Factor Out Common Factor: Factor out the common factor from each term in the expression. $\newline$ $(xy)(1) + (xy)(x^2) = xy(1 + x^2)$
Check for Further Factoring: Check to see if the expression inside the parentheses can be factored further. $\newline$ The expression $1 + x^2$ cannot be factored further over the real numbers because it is not a difference of squares and has no common factors.
Write Final Factored Form: Write the final factored form of the expression. $\newline$ The completely factored form of the expression is $xy(1 + x^2)$ .