C-03-Q211mediumsingle_mcqFactorize p4+p2+1p^4 + p^2 + 1p4+p2+1:a(p2−p+1)(p2+p−1)(p^2 - p + 1)(p^2 + p - 1)(p2−p+1)(p2+p−1)b(p2−p−1)(p2+p+1)(p^2 - p - 1)(p^2 + p + 1)(p2−p−1)(p2+p+1)c(p2+p+1)(p2+p+1)(p^2 + p + 1)(p^2 + p + 1)(p2+p+1)(p2+p+1)d(p2+p+1)(p2−p+1)(p^2 + p + 1)(p^2 - p + 1)(p2+p+1)(p2−p+1)ব্যাখ্যাWrite p4+p2+1=(p2+1)2−p2p^4+p^2+1 = (p^2+1)^2 - p^2p4+p2+1=(p2+1)2−p2, a difference of squares. This factors as (p2+1−p)(p2+1+p)=(p2−p+1)(p2+p+1)(p^2+1-p)(p^2+1+p) = (p^2-p+1)(p^2+p+1)(p2+1−p)(p2+1+p)=(p2−p+1)(p2+p+1).