Question:
x-(1/x) = 8 ആയാൽ x^3-(1/x^3) ന്റെ വില എത്ര?
A536
B342
C456
D356
Answer:
A. 536
Explanation:
x-(1/x) = 8 ------------ (1) (X-Y)³ = x³ - y³ - 3xy(x-y) X= x, Y= 1/x (x-1/x)³ = x³ - (1/x)³ -3x × (1/x) × (x -1/x) = x³ -(1/x)³ - 3(x-1/x) x³ -(1/x)³ = (x-1/x)³ + 3(x-1/x) = 8³ + 3 × 8 = 512 + 24 = 536