If a + b =10 and ab = 16 find$a^3+b^3$

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If a + b =10 and ab = 16 find $a^3+b^3$

A480

B520

C680

D720

Answer:

$(a+b)^3=a^3+b^3+3a^b+3ab^2$

$a^3+b^3=(a+b)^3-3ab(a+b)$

$=10^3-3\times16(10)$

$=1000-480$

$=520$

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