Find the value of (1.6)3 - (0.9)3 - (0.7)3.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3.024
Concept Used :
If a + b + c = 0 then a3 + b3 + c3 = 3abc
Solution :
In the given question
a = 1.6, b = (-0.9) and c = (-0.7)
So, a + b + c = 1.6 + (-0.9) + (-0.7) = 0
Then, (1.6)3 - (0.9)3 - (0.7)3 = 3(1.6)(-0.9)(-0.7) = 3.024.
Hence the value of (1.6)3 - (0.9)3 - (0.7)3 is 3.024.