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    Question

    If, ( a + b = 10 ) and ( a² + b² = 58 ), then find the

    value of (a³ + b³). 
    A 360 Correct Answer Incorrect Answer
    B 370 Correct Answer Incorrect Answer
    C 380 Correct Answer Incorrect Answer
    D 390 Correct Answer Incorrect Answer

    Solution

    (a + b = 10)
    ((a + b) ² = 10²)
    ( a² + b² + 2ab = 100)
    ( 58 + 2ab = 100)
    ( 2ab = 42 ab = 21)
    (a³ + b³ = (a + b)(a²+ b² - ab) ) = 10 (58 - 21) = 10  * 37 = 370 )

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