Factrorise
$4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 x y z - 16 z x$

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Solution

$4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 x y z - 16 z x U s i n g i d e n t i t y, (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a 4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z = (2 x)^{2} + (3 y)^{2} + (- 4 z)^{2} + (2 \times 2 x \times 3 y) + (2 \times 3 y \times - 4 z) + (2 \times - 4 z \times 2 x) = (2 x + 3 y - 4 z)^{2} = (2 x + 3 y - 4 z) (2 x + 3 y - 4 z)$

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Similar questions

4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 z x

Factorise: $4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z .$

Factorise:

(i)

(ii)

4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z

= (2 x + 3 y - 4 z) (2 x + 3 y - 4 z)

(i) 4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z (i i) 2 x^{2} + y^{2} + 8 z^{2} - 2 \sqrt{2} x y + 4 \sqrt{2} y z - 8 x z

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