Question

If a+b=15 and ab=56, the value of (a³+b³)÷(a²+b²) is......
plz give explanation also....​

Answer 1

I hope it helps you mate

Answer 2

Step-by-step explanation:

$a + b = 15 \\ ab = 56 \\ we \: have \: to \: calculate \: \\ \frac{( {a}^{3} + {b}^{3}) }{( {a}^{2} + {b}^{2} )} \\ = \frac{( {a}^{2} + {b}^{2} )(a + b - ab) }{( {a}^{2} + {b}^{2}) } \\ = a + b - ab \\ putting \: values \\ = 15 - 56 \\ = - 41$

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