3.37: Binomial then cosine graph

0606/11/M/J/24 — Question 4 · 7 marks

(a)
The first three terms in the expansion of (3+px)n(3 + px)^{n} are 243+810x+qx2243 + 810x + qx^{2}. Find nn, pp and qq.
[5]
(b)
Find the term independent of yy in (y23y)6\left(y^{2} - \dfrac{3}{y}\right)^{6}.
[2]