Factorise the expression: $2 x^{3} + 2 x y^{2} + 2 x z^{2}$

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

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

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

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

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Solution

The correct option is D $2 x (x^{2} + y^{2} + z^{2})$
$2 x^{3} + 2 x y^{2} + 2 x z^{2}$
$= 2 \times x \times x \times x + 2 \times x \times y \times y + 2 \times x \times z \times z$
$= 2 x (x^{2} + y^{2} + z^{2})$

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