Factors of $3 m^{5} - 48 m$ are

3 m (m - 1) (m - 3)

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3 m (m - 2) (m + 2) (m^{2} + 4)

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3 m (m - 1) (m - 2) (m + 1)

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m (m - 1) (m + 2) (m^{2} + 4)

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Solution

The correct option is B $3 m (m - 2) (m + 2) (m^{2} + 4)$
$3 m^{5} - 48 m$
$= 3 m (m^{4} - 16)$
$= 3 m [{(m^{2})}^{2} - 4^{2}]$
$= 3 m (m^{2} - 4) (m^{2} + 4)$
$= 3 m (m + 2) (m - 2) (m^{2} + 4)$

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Factors of 3m5−48m are

The correct option is B 3m(m−2)(m+2)(m2+4)3m5−48m=3m(m4−16)=3m[(m2)2−42]=3m(m2−4)(m2+4)=3m(m+2)(m−2)(m2+4)

Factors of $3 m^{5} - 48 m$ are

The correct option is B $3 m (m - 2) (m + 2) (m^{2} + 4)$
$3 m^{5} - 48 m$
$= 3 m (m^{4} - 16)$
$= 3 m [{(m^{2})}^{2} - 4^{2}]$
$= 3 m (m^{2} - 4) (m^{2} + 4)$
$= 3 m (m + 2) (m - 2) (m^{2} + 4)$