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Coordinate Geometry

Question
CBSEENMA9001839

Factorise: 2 square root of 2 straight a cubed plus 8 straight b cubed minus 27 straight c cubed plus 18 square root of 2 space abc


Solution
2 square root of 2 straight a cubed plus 8 straight b cubed minus 27 straight c cubed plus 18 square root of 2 space abc
equals left parenthesis square root of 2 straight a right parenthesis cubed plus left parenthesis 2 straight b right parenthesis cubed plus left parenthesis negative 3 straight c right parenthesis cubed minus 3 left parenthesis square root of 2 straight a right parenthesis left parenthesis 2 straight b right parenthesis left parenthesis negative 3 straight c right parenthesis
equals space open parentheses square root of 2 straight a plus 2 straight b minus 3 straight c close parentheses
left parenthesis 2 straight a squared plus 4 straight b squared plus 9 straight c squared minus 2 square root of 2 ab plus 6 bc plus 3 square root of 2 space ac right parenthesis.