Derivation of both sides: f'(x)=6? ( 1 - 2x)^5？ (-2)=0 + a 1 + 2a2x +.....+ 6a6x^5

Then-12 (1-2x) 5 = a1+2a2x+...+6a6x5.

Let x= 1

Then-12( 1-2? 1)^5=a 1 + 2a2+...+6a6

∴a 1 + 2a2 +....+ 6a6= 12