30. Factorize: 2x² + y2 + 8z? - 2√2 xy +4√2 yz - 8 xz.
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Answer:
(x+y+z) =x²+y²+z²+2xy+2yz+2zx
=2x²+y²+8z²-2√2xy+4√2-8xz
=(-2x) ²+(y) ²+(2√2x) ²+2(-√2x) (y) +2(y) (2√2z+2(-2x) (2√2x)
=(-√2x+y+2√2z) ²
= (-√2x+y+2√2z) (-2x+y+2√2z)
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