2b^2c^2+2c^2a^2+2a^2b^2-a^4-b^4-c^4=?
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Solution :
Given
2b²c²+2c²a²+2a²b²-a⁴-b⁴-c⁴
= [( a² + b² + c² )² -a⁴-b⁴-c⁴]-a⁴-b⁴-c⁴
= ( a²+b²+c²)² - 2( a⁴ + b⁴ + c⁴ )
••••
Given
2b²c²+2c²a²+2a²b²-a⁴-b⁴-c⁴
= [( a² + b² + c² )² -a⁴-b⁴-c⁴]-a⁴-b⁴-c⁴
= ( a²+b²+c²)² - 2( a⁴ + b⁴ + c⁴ )
••••
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