−896x69
−896x59
−896x527
−896x627
Correct answer is C
rth term of a binomial expansion =nCr−1an−(r−1)br−1
n=10,r=6∴
6th term =^{10}C_5 1^{10} - 5 (-\frac{2}{3}x)^5
=252*1*-\frac{32x^5}{243}=-\frac{896x^5}{27}
If T = \begin{pmatrix} -2 & -5 \\ 3 & 8 \end{pmatrix}, find T^{-1}, the inverse of T...
The tangent to the curve y = 4x^{3} + kx^{2} - 6x + 4 at the point P(1, m) is parallel to the x-...
The tangent to the curve y = 4x^{3} + kx^{2} - 6x + 4 at the point P(1, m) is parallel to the x-...
A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y - \frac{xy}{4...
If x^{2} - kx + 9 = 0 has equal roots, find the values of k....
The initial velocity of an object is u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}. If the a...
Given that r = 2i - j, s = 3i + 5j and t = 6i - 2j, find the magnitude of 2r + s - t...
The function f: x \to \sqrt{4 - 2x} is defined on the set of real numbers R. Find the domain of ...
Given that \log_{2} y^{\frac{1}{2}} = \log_{5} 125, find the value of y...