If (2x-1)^4 = ax^4+bx^3+cx^2+dx+e then find the value of a+2b +4c+8d+16e..plz help easy way..

Answer 1

just use the binomial theorem
(2x-1)^4 = (2x)^4 - 4(2x)^3 + 6(2x)^2 - 4(2x) + 1
Now just match up the coefficients with a,b,c,d,e and evaluate your expression