Find the middle term(s)in the expansion of: (i)(x−1x)10 (ii)(1−2x+

1.	Find the middle term(s)in the expansion of: (i)(x−1x)10 (ii)(1−2x+x2)n (iii)(1+3x+3x2+x3)2n (iv)(2x−x24)9 (v)(x−1x)2n+1 (vi)(x3+9y)10 (vii)(3−x36)7 (viii)(2ax−bx2)12 (ix)(px+xp)9 (x)(xa−ax)10
Answer» Find the middle term(s)in the expansion of: $(i) {(x - \frac{1}{x})}^{10}$ $(i i) (1 - 2 x + x^{2})^{n}$ $(i i i) (1 + 3 x + 3 x^{2} + x^{3})^{2 n}$ $(i v) {(2 x - \frac{x^{2}}{4})}^{9}$ $(v) {(x - \frac{1}{x})}^{2 n + 1}$ $(v i) {(\frac{x}{3} + 9 y)}^{10}$ $(v i i) {(3 - \frac{x^{3}}{6})}^{7}$ $(v i i i) {(2 a x - \frac{b}{x^{2}})}^{12}$ $(i x) {(\frac{p}{x} + \frac{x}{p})}^{9}$ $(x) {(\frac{x}{a} - \frac{a}{x})}^{10}$

Find the middle term(s)in the expansion of: (i)(x−1x)10 (ii)(1−2x+x2)n (iii)(1+3x+3x2+x3)2n (iv)(2x−x24)9 (v)(x−1x)2n+1 (vi)(x3+9y)10 (vii)(3−x36)7 (viii)(2ax−bx2)12 (ix)(px+xp)9 (x)(xa−ax)10

Answer»

Find the middle term(s)in the expansion of:

$(i) {(x - \frac{1}{x})}^{10}$

$(i i) (1 - 2 x + x^{2})^{n}$

$(i i i) (1 + 3 x + 3 x^{2} + x^{3})^{2 n}$

$(i v) {(2 x - \frac{x^{2}}{4})}^{9}$

$(v) {(x - \frac{1}{x})}^{2 n + 1}$

$(v i) {(\frac{x}{3} + 9 y)}^{10}$

$(v i i) {(3 - \frac{x^{3}}{6})}^{7}$

$(v i i i) {(2 a x - \frac{b}{x^{2}})}^{12}$

$(i x) {(\frac{p}{x} + \frac{x}{p})}^{9}$

$(x) {(\frac{x}{a} - \frac{a}{x})}^{10}$