Find the term independent of x in the expasion of the following expres

1.	Find the term independent of x in the expasion of the following expressions: (i)(32x2−13x)9(ii)(2x+13x2)9(iii)(2x2−33x3)25(iv)(3x−22x2)15(v)(√x3+32x210)(vi)(x−1x2)3n(vii)(12x1/3+x−1/5)8(viii)(1+x+2x3)(32x2−13x)9(ix)(3√x+123√x)18,x>2(x)(32x2−13x)6
Answer» Find the term independent of x in the expasion of the following expressions: $(i) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9} (i i) {(2 x + \frac{1}{3 x^{2}})}^{9} (i i i) {(2 x^{2} - \frac{3}{3 x^{3}})}^{25} (i v) {(3 x - \frac{2}{2 x^{2}})}^{15} (v) (\sqrt{\frac{x}{3}} + {\frac{3}{2 x^{2}}}^{10}) (v i) {(x - \frac{1}{x^{2}})}^{3 n} (v i i) {(\frac{1}{2} x^{1 / 3} + x^{- 1 / 5})}^{8} (v i i i) (1 + x + 2 x^{3}) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9} (i x) {(\sqrt[3]{x} + \frac{1}{2 \sqrt[3]{x}})}^{18}, x > 2 (x) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{6}$

Find the term independent of x in the expasion of the following expressions: (i)(32x2−13x)9(ii)(2x+13x2)9(iii)(2x2−33x3)25(iv)(3x−22x2)15(v)(√x3+32x210)(vi)(x−1x2)3n(vii)(12x1/3+x−1/5)8(viii)(1+x+2x3)(32x2−13x)9(ix)(3√x+123√x)18,x>2(x)(32x2−13x)6

Answer»

Find the term independent of x in the expasion of the following expressions:

$(i) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9} (i i) {(2 x + \frac{1}{3 x^{2}})}^{9} (i i i) {(2 x^{2} - \frac{3}{3 x^{3}})}^{25} (i v) {(3 x - \frac{2}{2 x^{2}})}^{15} (v) (\sqrt{\frac{x}{3}} + {\frac{3}{2 x^{2}}}^{10}) (v i) {(x - \frac{1}{x^{2}})}^{3 n} (v i i) {(\frac{1}{2} x^{1 / 3} + x^{- 1 / 5})}^{8} (v i i i) (1 + x + 2 x^{3}) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{9} (i x) {(\sqrt[3]{x} + \frac{1}{2 \sqrt[3]{x}})}^{18}, x > 2 (x) {(\frac{3}{2} x^{2} - \frac{1}{3 x})}^{6}$

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