Question
If, ( a + b = 10 ) and ( aĀ² + bĀ² = 58 ), then find the
value of (aĀ³ + bĀ³).ĀSolution
(a + b = 10)
((a + b) Ā² = 10Ā²)
( aĀ² + bĀ² + 2ab = 100)
( 58 + 2ab = 100)
( 2ab = 42 ab = 21)
(aĀ³ + bĀ³ = (a + b)(aĀ²+ bĀ² - ab) ) = 10 (58 - 21) = 10Ā * 37 = 370 )
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