Question: Consider the vector space P 2 and two of its subspaces, given by S = span { x 2 + 1 , x 2 -

Consider the vector space P2 and two of its subspaces, given by S=span{x2+1,x2-1,2x-1} and T=span{1+x,1-x,1-x2}. Prove that the space S is the same as T by showing that span{x2+1,x2-1,2x-1}=span{1+x,1-x,1-x2}.
Consider the vector space P2 and two of its subspaces, given

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