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Coordinate Geometry

Question
CBSEENMA9001868

Factorise each of the following:

27 straight p cubed minus 1 over 216 minus 9 over 2 straight p squared plus 1 fourth straight p
27 straight p cubed minus 1 over 216 minus 9 over 2 straight p squared plus 1 fourth straight p
equals space left parenthesis 3 straight p right parenthesis cubed minus open parentheses 1 over 6 close parentheses cubed minus left parenthesis 3 straight p right parenthesis open parentheses 1 over 6 close parentheses open parentheses 3 straight p minus 1 over 6 close parentheses
equals space open parentheses 3 straight p minus 1 over 6 close parentheses cubed space space space space space space space vertical line space Using space Identity space VII
equals space open parentheses 3 straight p minus 1 over 6 close parentheses open parentheses 3 straight p minus 1 over 6 close parentheses open parentheses 3 straight p minus 1 over 6 close parentheses

Solution