if a²+b²+c²=34 , a+b-c= 10 ,the value of (ab-bc-ca)is
Answers
Answered by
0
Answer:
Answer:
152
Step-by-step explanation:
given value:-
a+b+c=8
a²+b²+c² = 34
(a+b+c)² = a²+b²+c²+2ab+2bc+ca
(8)² = 34+2(ab+bc+ca)
64-34 = 2(ab+bc+ca)
30/2 =(ab+bc+ca)
15 = (ab+bc+ca)
a³+b³+c³-3abc =(a+b+c)(a²+b²+c²-ab-bc-ca)
a³+b³+c³-3abc = (8)[34-(ab+bc+ca)]
a³+b³+c³-3abc=(8)[34-(15)]
a³+b³+c³-3abc=(8)(19)
a³+b³+c³-3abc=152.
Step-by-step explanation:
Similar questions