Factorise : $12 x^{2} - 24 y^{2} + 36 z^{2}$

12 x^{2} - 2 y^{2} + 3 z^{2}

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12 (x^{2} - 2 y^{2} + 3 z^{2})

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

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

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Solution

The correct option is B $12 (x^{2} - 2 y^{2} + 3 z^{2})$
$12 x^{2} - 24 y^{2} + 36 z^{2} = 12 x^{2} - 12 \times 2 y^{2} + 12 \times 3 z^{2}$

$= 12 (x^{2} - 2 y^{2} + 3 z^{2})$

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Similar questions

6 x^{2} y^{3} - 12 x^{2} y^{2} + 18 x^{3} y

({7 x}^{2} - 2 x y - {6 y}^{2}) + ({9 y}^{2} + 12 x y - {12 x}^{2}) - (8 x y + {2 y}^{2} - {3 x}^{2})

Factorise :

$12 x^{2} - 27$

x^{3} - 12 x^{2} + 36 x

12 x^{2} - 7 x - 1

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