# Factor the polynomial -xy^{3}-x^{3}y

Isaiah Alsup 2021-11-15 Answered
Factor the polynomial $$\displaystyle-{x}{y}^{{{3}}}-{x}^{{{3}}}{y}$$

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Step 1
Concept used:
The factor polynomial, we need to factor out the GCF (Greatest Common Factor) of the entire expression.
The given expression is $$\displaystyle-{x}{y}^{{{3}}}-{x}^{{{3}}}{y}$$
The GCF of the two terms id $$\displaystyle-{x}{y}.$$
So, factor out the GCF.
$$\displaystyle-{x}{y}^{{{3}}}-{x}^{{{3}}}{y}$$
$$\displaystyle=-{x}{y}{\left({y}^{{{2}}}+{x}^{{{2}}}\right)}$$
After factoring the polynomial, we got $$\displaystyle-{x}{y}{\left({y}^{{{2}}}+{x}^{{{2}}}\right)}$$