Question

if a +b 13 and ab = 25 find the value of a^3+b^3

Answer 1

a + b = 13

take cube of equation

(a + b)^3 = 13 ^ 3

a^3 + b^3 + 3ab (a + b) = 13^3

a^3 + b^3 = 2197 - 3 * 25 * 13

= 2197 - 1035

= 1162