Question

Verify:

(a^2 - b^2) (a^2 + b^2) + (b^2 - c^2) (b^2 + c^2) + (c^2 - a^2) (c^2 + a^2) = 0


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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

$({a}^{2} - {b}^{2} )( {a}^{2} + {b}^{2} ) + ( {b}^{2} - {c}^{2} )( {b}^{2} + {c}^{2} ) + ( {c}^{2} - {a}^{2} )( {c}^{2} + {a}^{2} ) = 0\\ {( {a}^{2}) }^{2} - {( {b}^{2}) }^{2} + {( {b}^{2}) }^{2} - {( {c}^{2}) }^{2} + {( {c}^{2}) }^{2} - {( {a}^{2}) }^{2} = 0 \\ {a}^{4} - {b}^{4} + {b}^{4} - {c}^{4} + {c}^{4} - {a}^{4} = 0 \\ 0 = 0$