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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Expert Answer

Lupe Kirkland
Answered 2021-11-16 Author has 8750 answers
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 \(\displaystyle-{x}{y}{\left({y}^{{{2}}}+{x}^{{{2}}}\right)}\)
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