Factor the expression completely. x^(2)y^(3)-xy^(4) Answer:

Identify Common Factors: Identify the common factors in both terms of the expression x^(2)y^(3)-xy^(4). Both terms have an 'x' and a 'y' in common. The smallest power of 'x' is 1 and the smallest power of 'y' is 3.Factor Out Common Factors: Factor out the common factors from both terms. The greatest common factor (GCF) is xy^3. Factoring this out, we get: xy^3(x - y)Check Factored Expression: Check to ensure that when the factored expression is expanded, it results in the original expression. (xy^3)(x - y) = x^2y^3 - xy^4 This matches the original expression, so there is no math error.

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Factor the expression completely.

x^(2)y^(3)-xy^(4)
Answer:

Factor the expression completely. $\newline$ $x^{2} y^{3}-x y^{4}$ $\newline$ 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^{3}-x y^{4}

\newline

Answer:

Identify Common Factors: Identify the common factors in both terms of the expression $x^{2}y^{3}-xy^{4}$ . Both terms have an ' $x$ ' and a ' $y$ ' in common. The smallest power of ' $x$ ' is $1$ and the smallest power of ' $y$ ' is $3$ .
Factor Out Common Factors: Factor out the common factors from both terms. $\newline$ The greatest common factor (GCF) is $xy^3$ . Factoring this out, we get: $\newline$ $xy^3(x - y)$
Check Factored Expression: Check to ensure that when the factored expression is expanded, it results in the original expression. $\newline$ $(xy^3)(x - y) = x^2y^3 - xy^4$ $\newline$ This matches the original expression, so there is no math error.