Simplify the following 253 - 753 + 503
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. -281250
Formula used:
x3 + y3 + z3 = 3xyz ---- (1)
when x + y + z = 0
Calculations:
Using equation (1), we get
⇒ 25 - 75 + 50 = 0
Hence, x = 25, y = -75 and z = 50
⇒ 253 - 753 + 503 = 3 × 25 × (-75) × 50
⇒ - 281250