The coefficient of x3 in the expansion of (1+3x)21−2x
will be
8
32
50
None of these
= (1+3x)2(1−2x)−1
= (1+3x)2(1 + 2x + 1.22.1(−2x)2+.......)
= (1+6x+9x2)(1+2x+4x2+8x3+........)
Therefore coefficient of x3 is (8 + 24 + 18) = 50.
Coefficient of x3 in the expansion of (1+x1−x)2, |x| < 1 is