Factorisation of the expression $x^{4} y z + x y^{4} z + x y z^{4}$ results in:

x y z (x^{2} + y^{2} + z^{2})

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x y z (x^{3} + y^{3} + z^{3})

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x^{3} y^{3} z^{3} (x + y + z)

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x^{2} y^{2} z^{2} (x^{2} + y^{2} + z^{2})

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Solution

The correct option is D $x y z (x^{3} + y^{3} + z^{3})$
$x^{4} y z + x y^{4} z + x y z^{4}$

$= x y z (x^{3} + y^{3} + z^{3})$

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