The term independent of x in the binomial expansion of 1 - 1 x + 3 x 5 2 x 2 - 1 x 8 is

Step-by-step solution

The term independent of x will come from 1 - 1 x + 3 x 5 2 x 2 - 1 x 8 General term of 2 x 2 - 1 x 8 is C 8 r ( − 1 x ) r   2 x 2 8 - r = C 8 r 2 8 − r ( − 1 ) r x 16 − 3 r From expansion 1 2 x 2 - 1 x 8 - 1 x 2 x 2 - 1 x 8 + 3 x 5 2 x 2 - 1 x 8 1 2 x 2 - 1 x 8 → no constant term - 1 x 2 x 2 - 1 x 8 → for constant term   r = 5     ⇒ − C 8 3 2 3 ( − 1 ) 5 = + 448 3 x 5 2 x 2 - 1 x 8 → for constant term r = 7 ⇒ C 38 7 2 1 ( −