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 \(\displaystyle-{x}{y}{\left({y}^{{{2}}}+{x}^{{{2}}}\right)}\)

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 \(\displaystyle-{x}{y}{\left({y}^{{{2}}}+{x}^{{{2}}}\right)}\)