Question

find factor of given equation
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Answer 1

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✴$\:m^3\:-\frac{1}{m^2}$.

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We know that,

✴$\:(a^3-b^3)\:=\:(a-b)(a^2+ab+b^2)$.

Using this identity

$\implies\:(m^3-\frac{1}{m^3})$.

$\implies\:(m-\frac{1}{m})(m^2+m*\frac{1}{m}+\frac{1}{m^2})$.

$\implies\:(m-\frac{1}{m})(m^2+\frac{1}{m^2}+1)$.

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