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Coordinate Geometry

Question
CBSEENMA9001854

Expand each of the following using suitable identities:

open square brackets 1 fourth straight a minus 1 half straight b plus 1 close square brackets squared

Solution
open square brackets 1 fourth straight a minus 1 half straight b plus 1 close square brackets squared
open square brackets 1 fourth straight a minus 1 half straight b plus 1 close square brackets squared equals open square brackets 1 fourth straight a plus open parentheses negative 1 half straight b close parentheses plus 1 close square brackets squared
equals open parentheses 1 fourth straight a close parentheses squared plus open parentheses negative 1 half straight b close parentheses squared plus left parenthesis 1 right parenthesis squared plus 2 open parentheses 1 fourth straight a close parentheses open parentheses negative 1 half straight b close parentheses plus 2 open parentheses negative 1 half straight b close parentheses left parenthesis 1 right parenthesis plus 2 left parenthesis 1 right parenthesis open parentheses 1 fourth straight a close parentheses
equals space 1 over 16 straight a squared plus 1 fourth straight b squared plus 1 minus 1 fourth ab minus straight b plus 1 half straight a.