Find the coefficient of:(i) x10 in the expansion of 2x2-1x20(ii) x7 in the expansion of x-1x240(iii) x-15 in the expansion of 3x2-a3x310(iv) x9 in the expansion of x2-13x9(v) xm in the expansion of x+1xn(vi) x in the expansion of 1-2x3+3x5 1+1x8.(vii) a5b7 in the expansion of a-2b12.(viii) x in the expansion of 1-3x+7x2 1-x16.

Find the coefficient of:(i) x10 in the expansion of 2x2-1x20(ii) x7 in

1.	Find the coefficient of:(i) x10 in the expansion of 2x2-1x20(ii) x7 in the expansion of x-1x240(iii) x-15 in the expansion of 3x2-a3x310(iv) x9 in the expansion of x2-13x9(v) xm in the expansion of x+1xn(vi) x in the expansion of 1-2x3+3x5 1+1x8.(vii) a5b7 in the expansion of a-2b12.(viii) x in the expansion of 1-3x+7x2 1-x16.
Answer» Find the coefficient of: (i) x¹⁰ in the expansion of ${(2 x^{2} - \frac{1}{x})}^{20}$ (ii) x⁷ in the expansion of ${(x - \frac{1}{x^{2}})}^{40}$ (iii) $x^{- 15}$ in the expansion of ${(3 x^{2} - \frac{a}{3 x^{3}})}^{10}$ (iv) $x^{9}$ in the expansion of ${(x^{2} - \frac{1}{3 x})}^{9}$ (v) $x^{m}$ in the expansion of ${(x + \frac{1}{x})}^{n}$ (vi) x in the expansion of $(1 - 2 x^{3} + 3 x^{5}) {(1 + \frac{1}{x})}^{8}$ . (vii) $a^{5} b^{7}$ in the expansion of ${(a - 2 b)}^{12}$ . (viii) x in the expansion of $(1 - 3 x + 7 x^{2}) {(1 - x)}^{16}$ .