27x^3+24x^2+18x+1
and
343x^3-8y^3
 

Asked by bhargav72000 | 18th Sep, 2015, 11:22: PM

Expert Answer:

C o n s i d e r space t h e space e q u a t i o n space 27 x cubed plus 24 x squared plus 18 x plus 1. T h e space a b o v e space e q u a t i o n space c a n n o t space b e space f a c t o r i z e d space f o r space i n t e g r a l space v a l u e s space o f space x T h e space v a l u e space x plus 0.064 space i s space a space f a c t o r space o f space t h e space a b o v e space e q u a t i o n. P l e a s e space c h e c k space t h e space q u e s t i o n. C o n s i d e r space t h e space e q u a t i o n space 343 x cubed minus 8 y cubed colon space 343 x cubed minus 8 y cubed equals open parentheses 7 x close parentheses cubed minus open parentheses 2 y close parentheses cubed W e space k n o w space t h a t space a cubed minus b cubed equals open parentheses a minus b close parentheses open parentheses a squared plus a b plus b squared close parentheses T h u s comma space open parentheses 7 x close parentheses cubed minus open parentheses 2 y close parentheses cubed space equals open parentheses 7 x minus 2 y close parentheses open parentheses open parentheses 7 x close parentheses squared plus 7 x cross times 2 y plus open parentheses 2 y close parentheses squared 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 equals open parentheses 7 x minus 2 y close parentheses open parentheses 49 x squared plus 14 x y plus 4 y squared close parentheses

Answered by Vimala Ramamurthy | 20th Sep, 2015, 08:12: PM