Factorize: $(3 x - 5 y)^{3} + (5 y - 2 z)^{3} + (2 z - 3 x)^{3}$

3 (3 x + 5 y) (5 y + 2 z) (2 z + 3 x)

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2 (3 x - 5 y) (5 y + 2 z) (2 z - 3 x)

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3 (3 x - 5 y) (5 y - 2 z) (2 z - 3 x)

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None of these

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Solution

The correct option is C $3 (3 x - 5 y) (5 y - 2 z) (2 z - 3 x)$
$(3 x - 5 y) + (5 y - 2 z) + (2 z - 3 x) = 0$
$(3 x - 5 y)^{3} + (5 y - 2 z)^{3} + (2 z - 3 x)^{3}$
$= 3 (3 x - 5 y) (5 y - 2 x) (2 z - 3 x)$

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