Applying the formula, (a+b)2=a2+b2+2ab
(2a+12a)2=2a2+(12a)2+2×2a×12a=4a2+14a2+2
=>4a2+14a2=(2a+12a)2−2
Substituting 2a+12a=8,
=>4a2+14a2=82−2=64−2=62
Squaring both sides,
=>(4a2+14a)2=622
=>16a4+116a4+2×4a2×14a2=3844
=>16a4+116a4+2=3844
=>16a4+116a4=3842