Question

without actually calculating the cubes find the value of (-12) 3square+(7) 3square+(5) 3square​

Answer 1

Answer:

(−12) 3 +(7) 3 +(5) 3

Consider, a=−12,b=7,c=5

Then,

a+b+c=(−12)+7+5=0

Using, a

3

+b

3

+c

3

=3abc, Ifa+b+c=0

So, (−12)+7

3

+5

3

=3×(−12)×7×5

=−1260

Answer 2

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