please give the answer
Attachments:
Answers
Answered by
2
Answer
1) 0
Step-by-step explanation:
Objective approach :
put a = b = c = 1
then, x/2 = 3
x = 6
Putting corresponding values in expression,
(2 - 2)^3 + (2 - 2)^3 + (2 - 2)^3-3(2 - 2)(2 - 2)(2 - 2)
=0
Subjective approach :
If you'll look closely, you will notice that expression is in the form of a³+b³+c³-3abc
and we know that,
a³+b³+c³-3abc=1/2 [a+b+c] {[a-b]²+[b-c]²+[c-a]²}
here,
a= x/3 -2a
b=x/3 - 2b
c=x/3 - 2c
so, a+b+c = (x/3+x/3+x/3) - 2(a+b+c)= x-x = 0
So the expression = 0 (as a+b+c term comes out to be zero)
Similar questions