Question
If, ( a + b = 12 ) and ( a² + b² = 80 ), then find the
value of (a³ + b³).Solution
( a + b = 12 )
( (a + b) ² = 12² )
( a² + b² + 2ab = 144 )
( 80 + 2ab = 144 )
( 2ab = 64 ab = 32 )
(a³ + b³ = (a + b)(a² + b² - ab) ) = 12 (80 - 32) = 12 * 48 = 576 )
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