Factor the expression completely. x^(5)y^(4)+x^(3)y^(3) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression x^(5)y^(4)+x^(3)y^(3). The GCF is the highest power of x and y that divides both terms. In this case, the GCF is x^(3)y^(3).Factor out GCF: Factor out the GCF from the expression. We write the expression as x^(3)y^(3) times the remaining factors. x^(5)y^(4)+x^(3)y^(3) = x^(3)y^(3)(x^(2)y + 1)Check for further factorization: Check if the remaining factors can be factored further. The term x^(2)y is a monomial and cannot be factored further. The constant 1 also cannot be factored. Therefore, the expression is fully factored.

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Factor the expression completely.

x^(5)y^(4)+x^(3)y^(3)
Answer:

Factor the expression completely. $\newline$ $x^{5} y^{4}+x^{3} y^{3}$ $\newline$ Answer:

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Q. Factor the expression completely.

\newline

x^{5} y^{4}+x^{3} y^{3}

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $x^{5}y^{4}+x^{3}y^{3}$ . The GCF is the highest power of $x$ and $y$ that divides both terms. In this case, the GCF is $x^{3}y^{3}$ .
Factor out GCF: Factor out the GCF from the expression. $\newline$ We write the expression as $x^{3}y^{3}$ times the remaining factors. $\newline$ $x^{5}y^{4}+x^{3}y^{3} = x^{3}y^{3}(x^{2}y + 1)$
Check for further factorization: Check if the remaining factors can be factored further. $\newline$ The term $x^{2}y$ is a monomial and cannot be factored further. The constant $1$ also cannot be factored. Therefore, the expression is fully factored.