If the expansion of  (1 + x)m(1 − x)n , the coefficients of  x  and  x2  are 3 and -6 respectively, then:

In the expansion of (1 – 2x)^n , the sum of the coefficients of x and x^ 2 is 30. Given that n is positive, find (i) the value of n (ii) the coefficient of x

Find the co-efficient of x3 in the expansion of (1 − x)−2(1 + x)−2

Write the coefficient of x5in the expansion of: (a) (3 + x)6 (b) (2 − x)7 (c)

Find the first four terms in the expansion of (1 − x)− 12

The coefficient of x2 in 3x3+2x2-x+1 is: