Question

if A +B+C=5and AB+BC++AC=10 find the value of a qube + +b qube +c qube _3 abc​

Answer 1

(5)²=a²+b²+c²+2(10)

25=a²+b²+c²+20

a²+b²+c²=5

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

=(5)(5-10)

=(5)(-5)

=-25