Pawan Prajapati
Last Activity: 3 Years ago
(i) Consider the identity (.r + y)3 = xs + ya + !hy(.r + y)
,rS + yS = (% + y)S _ 3x:y{.r + y)
= (.r + y)((% + y)l - 3%)'1
.r8 + y3 = (% + y) t.r2 + y2 + 2xy - 3.ryJ
= C% + :iX -%Y + y).
(ii} Consider the identity (.r -y'fJ = .r3 -y3 - 3%)'(.r - y)
.r3 -y3 = (.r - y '/3 + 3%)'(% - y)
= (% -y)l(.r -y'f/- + 3%)'1
.r3 - y 8 = <.r -Y> tr + ,a - 2x:Y + :uy1
= (.r - y)(z2 + %)' + y2).