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Coordinate Geometry

Question
CBSEENMA9001838

Factorise: 7 square root of 2 straight x squared minus 10 straight x minus 4 square root of 2

Solution
7 square root of 2 straight x squared minus 10 straight x minus 4 square root of 2
space space space space space equals space 7 square root of 2 straight x squared minus 14 straight x plus 4 straight x minus 4 square root of 2
space space space space space equals space 7 square root of 2 straight x left parenthesis straight x minus square root of 2 right parenthesis plus 4 left parenthesis straight x minus square root of 2 right parenthesis
space space space space space equals space space left parenthesis straight x minus square root of 2 right parenthesis space left parenthesis 7 space square root of 2 straight x space plus 4 right parenthesis