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Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],...

Prove that `|[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2`.

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UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
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  2. If A=([2,-1],[1,3]) then show that A^2-5A+7I2=0 hence find A^(-1)

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  4. Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2.

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