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

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Solution

$16 x^{2} + 4 y^{2} + 9 z^{2} + 16 x y + 12 y z + 24 x z$
Using $(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 a c$
$= (4 x)^{2} + (2 y)^{2} + (3 z)^{2} + 2 (4 x) (2 y) + 2 (2 y) (3 z) + 2 (4 x) (3 z)$
$= (4 x + 2 y + 3 z)^{2}$
$= (4 x + 2 y + 3 z) (4 x + 2 y + 3 z)$

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Similar questions

Factorize:

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

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

Question 29
Factorise the following:

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

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

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

Question 29
Factorise the following:

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

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

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

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

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