Prove that the following determinant is equal to (ab + bc + ca)3 :
-bc b2 + bc c2 + bc
a2 + ac -ac c2 + ac
a2 + ab b2 + ab -ab
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In the attachment I have proved this problem.
Without using actual expansion I applied properties of determinants
to derive the final answer.
Without using actual expansion I applied properties of determinants
to derive the final answer.
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