which term in the expansion of \bigg( {x}^{2} - \dfrac{1}{x} \bigg)^{9}(x 2 − x 1 ) 9 will be independent of heads also find that term . Created by ishu010. Math

Answer:egStep-by-step explanation:Correct option isD−36( 601 − 81x 8 )⋅(2x 2 − x 2 3 ) 6 ⇒ 601 (2x 2 − x 2 3 ) 6 − 811 ⋅x 8 (2x 2 − x 2 3 ) 6 its general term$$\dfrac {1}{60}\ ^{6}C_{r} 2^{6 - r} (-3)^{r}x^{12 -4 r} - \dfrac {1}{81} \^{6}C_{r} 2^{6 - r} (-3)^{r} x^{20 - 4r}$$12−4r=0 20−4r=0r=3 r=5 for term independent of x,r for 1 st expression is 3 and r for 2 nd expression is 5− 601 6 C 3 ×2 3 ×3 3 + 811 6 C 5 ×2×3 5 −72+36=−36∴ term independent of x=−36.