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

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

Find the co-efficient of x2 in (3 − x)10

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

Find ynfor given functions (1) x(x−1)(x−2)(x−3) (2) x2+1x(x2−1)

Expand and simplify.a x(3x − 1) + x(4 − x)