(c) For the remaining parts of this problem, assume that (E, ||- ||) is a real normed vector space, and that the norm || - || satisfies the parallelogram identity. Prove that in this case, for all x, y, z = E, ||x+y+z||²—||x+y−z||² = ||x+z||²—||x−z||²+||y+z||² − ||y−z||².

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