\(-\frac{896x^6}{9}\)
\(-\frac{896x^5}{9}\)
\(-\frac{896x^5}{27}\)
\(-\frac{896x^6}{27}\)
Correct answer is C
rth term of a binomial expansion =\(^nC_r-1 a^{n-(r-1)}b^{r-1}\)
\(n = 10,r = 6 \therefore r-1=5\)
6th term =\(^{10}C_5 1^{10} - 5 (-\frac{2}{3}x)^5\)
\(=252*1*-\frac{32x^5}{243}=-\frac{896x^5}{27}\)
Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\)...
If \(\log_{9} 3 + 2x = 1\), find x....
A particle is acted upon by two forces 6N and 3N inclined at an angle of 120° to each other. Fin...
If the solution set of \(x^{2} + kx - 5 = 0\) is (-1, 5), find the value of k....
If \(B = \begin{pmatrix} 2 & 5 \\ 1 & 3 \end{pmatrix}\), find \(B^{-...
Evaluate \(\int^1_0 x(x^2-2)^2 dx\)...
If \(P = \begin{vmatrix} 1 & 1 \\ 2 & 1 \end{vmatrix}\), find \((P^{2} + P)\)....
Given that \(a = i - 3j\) and \(b = -2i + 5j\) and \(c = 3i - j\), calculate \(|a - b + c|\)....
Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18. ...