Find the value of the following expression.
123 + (-8)3 + (-4)3
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1152.
Formula used:
x3 + y3 + z3 = 3xyz ---- (1)
when x + y + z = 0
Calculations:
Let x = 12, y = - 8 and z = - 4
We have, x + y + z = 12 - 8 - 4 = 0
Hence using equation (1), we get
⇒ 123 + (-8)3 + (-4)3 = 3 × 12 × 8 × 4
⇒ 1152