Question

Factorise :2x2+y2+8z2-2root2xy+4 root 2yz-8xz

Answer 1

Hello user,
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If a = -√2x, b=y and c=2√2z
then, using the identity
$(a + b + c) {}^{2}$
we get,

$2x {}^{2} + y {}^{2} + 8z - 2 \sqrt{2} | xy + 4 \sqrt{2}yz - 8xz \ \\ ( - \sqrt{2} x + \: y + 2 \sqrt{2} z)( - \sqrt{2}x + y + 2 \sqrt{2}z)$

=$( - \sqrt{2 \: }x + y + 2 \sqrt{2}z) {}^{2}$

I hope this helps you!
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