Question

if a + b equal to 10 and a b is equal to 16 then find the value of a cube plus b cube​

Answer 1

$a + b \: = 10 \\ ab = 16 \\ {a + b}^{2} = {10}^{2} \\ {a}^{2} + 2ab + {b}^{2} = 100 \\ {a}^{2} + {b}^{2} + 2 \times 16 = 100 \\ {a}^{2} + {b}^{2} = 100 - 32 \\ {a}^{2} + {b}^{2} = 68 \\ \\ {a}^{3} + {b}^{3} \\ a + b \: \: \: {a}^{2} + {b}^{2} - ab \\ 10 \times 68 - 16 \\ 10 \times 52 \\ 520$