Factorise: x^3 + 6x^2 + 12x + 16

Asked by laxmi.agarwal055 | 20th Feb, 2018, 11:01: PM

Expert Answer:

begin mathsize 16px style straight x cubed plus 6 straight x squared plus 12 straight x plus 16
equals straight x cubed plus 6 straight x squared plus 12 straight x plus 8 plus 8
equals straight x cubed plus 3 cross times 2 straight x squared plus 3 cross times 2 squared straight x plus 2 cubed plus 8
equals open parentheses straight x plus 2 close parentheses cubed plus 2 cubed
equals open parentheses straight x plus 2 plus 2 close parentheses open square brackets open parentheses straight x plus 2 close parentheses squared minus 2 open parentheses straight x plus 2 close parentheses plus 4 close square brackets
equals open parentheses straight x plus 4 close parentheses open parentheses straight x squared plus 4 straight x plus 4 minus 2 straight x minus 4 plus 4 close parentheses
equals open parentheses straight x plus 4 close parentheses open parentheses straight x squared plus 2 straight x plus 4 close parentheses
end style

Answered by Sneha shidid | 21st Feb, 2018, 10:03: AM