The term independent of x in the binomial expansion of ( 2 x^2 - x )¹⁰ is equal to

Step-by-step solution

Let (r+1)^ th term is independent of x . (r+1)^ th term = ¹⁰ C_r ( 2 x^2 )^ 10-r (- x )^r Exponent of x in independent term =0 i.e. r 2 -2(10-r)=0r-4(10-r)=0 5 r-40=0 r=8 Thus, 9th term is independent of x . aligned 9th term & = ¹⁰ C₈(2)¹⁰⁻⁸ (-1)^8= ¹⁰ C₈(2)^2 & = 10 9 2 4=180 aligned