A carriage travelling in fog passed along a man who was walking @ 6 km/hr in the same direction. He could see the carriage for 8 minutes and it was visi...
- If (x - y) = 1, then find the value of (x³ - y³ - 3xy).
- If, a 3 + b 3 = 485 and a + b = 5, then find the value of (1/a) + (1/b) .
- If (p + q + r) = 10 and (pq + qr + rp) = 30, then find the value of (p² + q² + r²).
If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca
If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
If x = 222, y = 223 and z = 224, then find the value of x³ + y³ + z³ – 3xyz
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
Evaluate (998)3 without multiplying directly.