If a + b =5 and ab = 6 find$a^3+b^3$

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If a + b =5 and ab = 6 find $a^3+b^3$

A38

B37

C36

D35

Answer:

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

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

$=5^3-3\times6(5)$

$=125-90$

$=35$

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