please provide step by step solution through induction method.please provide hand written solution complete solved step by step using induction (not just answers it's not helpful just provide answers )

T(n)=2T(n/2)+n2,T(1)=1 T(n)=3T(n/4)+n,T(1)=1 T(n)=4T(n/3)+n,T(1)=1 T(n)=8T(n/4)+n2,T(1)=1 T(n)=2T(n/4)+n,T(1)=1 T(n)=4T(n/4)+nlgn,T(1)=1