Question

FACTORISE:
$2 {x}^{2} + {y}^{2} + 8z - 2 \sqrt{2} \: xy \: + 4 \sqrt{2} \: yz \: - 8xz$
​

Answer 1

Q.2x2 + y2 + 8z2 - 2√2 xy + 4√2 yz - 8xz

Solution :-

= (-√2x)2 + (y)2 + (2√2z)2 + (2×-√2x×y) + (2×y×2√2z) + (2×2√2z×-√2x)

= (-√2x + y + 2√2z)2

= (-√2x + y + 2√2z) (-√2x + y + 2√2z)