Question

factorise:
1) 4x²+y²+z²-4xy-2yz+4xz
2) 2x²+y²+8z²-2√2xy-4√2yz-8xz

Answer 1

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Answer 2

factorise:

1) 4x²+y²+z²-4xy-2yz+4xz=(2x)²+(-y) ²+(z) ²-2×2x×y-2×y×z+2×2x×z=(2x-y+z)²

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

2) 2x²+y²+8z²-2√2xy-4√2yz-8xz

=(root 2x)² +(-y) ²+(2root 2z) ²-2×root2x×y-2×y×2root2z+2×root2x×2 root2z

=(root2x-y+2root2z)²

=(root2x-y+2root2z)(root2x-y+2root2z)