Question

Use property to evaluate
9 cube - 5 cube - 4 cube

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