\(18a^{2}\)
\(45a^{4}\)
\(135a^{4}\)
\(1215a^{2}\)
Correct answer is C
\((a + 3x)^{6}\).
The coefficient of \(x^{2}\) is:
\(^{6}C_{4}(a)^{6 - 2} (3x)^{2} = \frac{6!}{(6 - 4)! 4!} (a^{4})(9x^{2})\)
\(15 \times a^{4} \times 9 = 135a^{4}\)
Express the force F = (8 N, 150°) in the form (a i + b j) where a and b are constants ...
If the determinant of the matrix \(\begin{pmatrix} 2 & x \\ 3 & 5 \end{pmatrix} = 13\), find...
If \(P = \begin{pmatrix} 1 & -2 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} -2 & ...
Simplify: \(\frac{\cos 2\theta - 1}{\sin 2\theta}\)...
Which of the following is the semi-interquartile range of a distribution? ...
Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5. ...