Question : If $p = 8.15,$ $q = 9.06$, and $r =-17.21$, then the value of $p^3+q^3+r^3-3 p q r$ is:
Option 1: −3.81
Option 2: −5.62
Option 3: 4.75
Option 4: 0
Answer (1)
13th Jan, 2024
Correct Answer: 0
Solution :
$p = 8.15,$ $q = 9.06$ and $r =-17.21$
We know that, If $a+b+c=0$, then $a^3+b^3+c^3-3abc=0$
Here, $p+q+r=8.15+9.06+(-17.21)=0$
So, $p^3+q^3+r^3-3pqr=0$
Hence, the correct answer is 0.
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