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Coordinate Geometry

Question
CBSEENMA9001859

Write the following cubes in expanded form:

open square brackets 3 over 2 straight x plus 1 close square brackets cubed

Solution
open square brackets 3 over 2 straight x plus 1 close square brackets cubed
open square brackets 3 over 2 straight x plus 1 close square brackets cubed space equals space open parentheses 3 over 2 x close parentheses cubed plus left parenthesis 1 right parenthesis cubed space plus space 3 open parentheses 3 over 2 x close parentheses left parenthesis 1 right parenthesis open parentheses 3 over 2 x plus 1 close parentheses
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
                                               | Using Identity VI 
equals space 27 over 8 x cubed plus 1 plus 9 over 2 x open parentheses 3 over 2 x plus 1 close parentheses
equals space 27 over 8 x cubed plus 1 plus 27 over 4 x squared plus 9 over 2 x
equals space 27 over 8 x cubed plus 27 over 4 x squared plus 9 over 2 x plus 1