Question

a) Verify the following:
(a 2 - b2) (a2 + b2) + (b2 - c2) (b2+c2) + (c2 - a2) (c2 + a2) = 0​

Answer 1

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

(a^4 - b^4) + (b^4 - c^4) + (c^4 - a^4)

a^4 - b^4 + b^4 - c^4 + c^4 - a^4

(a^4 - a^4) + (b^4 - b^4) + (c^4 - c^4)

0

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