We know that,a³ + b³ + c³ -3ABC = (a + b + c )(a² + b² + c² -ab -bc-ca)now ,a + b + c = 5ab + bc + ca = 10(a + b + c)² = a² + b² + c² +2(ab + bc+ca)(5)² -2×10 = a² + b² + c²a² + b² + c² =5hence ,a³ + b³ +c³ -3abc = ( a + b + c )(a² + b² + c² -ab- bc-ca)=( 5)( 5 - 10) = 5 × (-5) = -25hence proved//Hope it HELPS you...
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