only (xiv) part please fast
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= (p^2 - 4p)^2 -16(p^2 - 4p)- q(p^2 -4p)+16p^2q - 64pq
=(p^2 - 4p)^2 -16(p^2 - 4p) - qp^2 +4pq+16p^2q-64pq
=(p^2 - 4p)^2 -16(p^2 - 4p) +15p^2q -60pq
=(p^2 - 4p)^2 -16(p^2 - 4p) +15q(p^2 - 4p)
let (p^2 - 4p) = w
= w^2 -16w +15qw
=w(w - 16 + 15q)
now put value of w =(p^2 -4p)
=(p^2 - 4p){p^2 -4p -16 +15q}
=(p^2 - 4p)^2 -16(p^2 - 4p) - qp^2 +4pq+16p^2q-64pq
=(p^2 - 4p)^2 -16(p^2 - 4p) +15p^2q -60pq
=(p^2 - 4p)^2 -16(p^2 - 4p) +15q(p^2 - 4p)
let (p^2 - 4p) = w
= w^2 -16w +15qw
=w(w - 16 + 15q)
now put value of w =(p^2 -4p)
=(p^2 - 4p){p^2 -4p -16 +15q}
abhi178:
now see answer .
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