The coefficient of x - 5 in the binomial expansion of x + 1 x 2 3 - x 1 3 + 1   - x - 1 x - x 1 2 10 where x ≠ 0,1 is

Question

The coefficient of x - 5 in the binomial expansion of x + 1 x 2 3 - x 1 3 + 1 &#160; - x - 1 x - x 1 2 10 where x &#8800; 0,1 is

Aicharya · Accepted Answer

x 1 3 + 1 &#160; x 2 3 - x 1 3 + 1 x 2 3 - x 1 3 + 1 - x - 1 &#160; x + 1 x &#160; x - 1 10 = x 1 3 + 1 - 1 - 1 x 1 2 10 = x 1 3 - x - 1 2 10 t r + 1 = 10 C r x 1 3 10 - r x &#8722; 1 2 r ( &#8722; 1 ) r t r + 1 = 10 C r x 10 3 - 5 r 6 - 1 r &#8757; &#160; 10 3 - 5 r 6 = - 5 5 r 6 = 50 6 &#160; &#160; &#8658; r = 10 Hence, 10 C 10 - 1 10 = 1 &#160;

The coefficient of x - 5 in the binomial expansion of x + 1 x 2 3 - x 1 3 + 1   - x - 1 x - x 1 2 10…

Solution

The coefficient of x - 5 in the binomial expansion of x + 1 x 2 3 - x 1 3 + 1 &#160; - x - 1 x - x 1 2 10…

Solution

The coefficient of x - 5 in the binomial expansion of x + 1 x 2 3 - x 1 3 + 1 - x - 1 x - x 1 2 10…