Factorise: 250(a-b)^3+2

Asked by laxmi.agarwal055 | 21st Feb, 2018, 08:49: PM

Expert Answer:

begin mathsize 16px style 250 open parentheses straight a minus straight b close parentheses cubed plus 2
equals 250 open parentheses straight a cubed minus 3 straight a squared straight b plus 3 ab squared minus straight b cubed close parentheses plus 2
equals 250 straight a cubed minus 750 straight a squared straight b plus 750 ab squared minus 250 straight b cubed plus 2
equals 2 open square brackets open parentheses 125 straight a cubed minus 375 straight a squared straight b plus 375 ab squared minus 125 straight b cubed close parentheses plus 1 close square brackets
equals 2 open square brackets open parentheses 5 straight a minus 5 straight b close parentheses cubed plus 1 close square brackets
equals 2 open parentheses 5 straight a minus 5 straight b plus 1 close parentheses open square brackets open parentheses 5 straight a minus 5 straight b close parentheses squared minus open parentheses 5 straight a minus 5 straight b close parentheses plus 1 close square brackets
equals 2 open parentheses 5 straight a minus 5 straight b plus 1 close parentheses open parentheses 25 straight a squared minus 50 ab plus 25 straight b squared minus 5 straight a plus 5 straight b plus 1 close parentheses end style

Answered by Sneha shidid | 22nd Feb, 2018, 10:51: AM