\(-540x^{3}y^{3}\)
\(-540x^{4}y^{2}\)
\(-27x^{3}y^{3}\)
\(540x^{4}y^{2}\)
Correct answer is A
Listing out in order, the terms of this expansion have coefficients: \(^{6}C_{6}, ^{6}C_{5}, ^{6}C_{4}, ^{6}C_{3}, ^{6}C_{2}, ^{6}C_{1}, ^{6}C_{0}\)
The 4th term = \(^{6}C_{3}(3x)^{3}(-y)^{3} = 20 \times 27x^{3} \times -y^{3}\)
= \(-540x^{3}y^{3}\).
Evaluate \(\cos 75°\), leaving the answer in surd form....
Factorize completely: \(x^{2} + x^{2}y + 3x - 10y + 3xy - 10\)....
Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)...
An exponential sequence (G.P.) is given by 8√2, 16√2, 32√2, ... . Find the n\(^{th...
Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,... ...
If \(y = 4x - 1\), list the range of the domain \({-2 \leq x \leq 2}\), where x is an integer....
If (x + 1) is a factor of the polynomial \(x^{3} + px^{2} + x + 6\). Find the value of p....