Basis for a subspace Proof

If {v1,v2} is a basis for a subspace V show that {v1+v2,v1−v2} is also a basis for V .
I know that we must have to prove that v1+v2 and v1-v2 are linearly independent and they also span V because that is a definition for a basis but am unsure how to go about this.

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