Factorise : 

(a+b+c)³-a³-b³-c3

 

Asked by dk6974161 | 17th Jan, 2020, 10:06: PM

Expert Answer:

begin mathsize 22px style left parenthesis straight a plus straight b plus straight c right parenthesis ³ minus straight a ³ minus straight b ³ minus straight c cubed
equals straight a cubed plus straight b cubed plus straight c cubed plus 3 left parenthesis straight a squared straight b plus straight a squared straight c plus straight b squared straight a plus straight b squared straight c plus straight c squared straight a plus straight c squared straight b right parenthesis plus 6 abc minus straight a ³ minus straight b ³ minus straight c cubed
equals 3 left parenthesis straight a squared straight b plus straight a squared straight c plus straight b squared straight a plus straight b squared straight c plus straight c squared straight a plus straight c squared straight b right parenthesis plus 6 abc
equals 3 left parenthesis straight a squared open parentheses straight b plus straight c close parentheses plus straight b squared open parentheses straight a plus straight c close parentheses plus straight c squared open parentheses straight a plus straight b close parentheses right parenthesis plus 6 abc end style

Answered by Arun | 18th Jan, 2020, 11:00: AM