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

Challenger App

★

1M+ Downloads

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

A38

B37

C36

D35

Answer:

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

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

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

$=125-90$

$=35$

Related Questions:

If 2x + y = 6 and xy = 4, then find the value of 8x³ + y³ is:

If xy = 16 and x² + y² = 32, then the value of (x + y) is:

If $x^2+\frac{1}{x^2}=38$ , then what is the value of $\left| {x - \frac{1}{x}} \right|$