Factorize- 4 x2-9 y2-16 z2-12 x y-24 y z-16 x z-

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Factorize: 4 ...

Question

Factorize: 4x² + 9y² + 16z² + 12xy − 24yz − 16xz.

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P (x) = 4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y + 24 y z + 16 x z

P (x)

x = 1, y = 1, z = 1.

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)

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

2 x^{2} + y^{z} + 8 z^{2} - 2 \sqrt{2} x y + 4 \sqrt{2} y z - 8 x z

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

(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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