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^3-(y^3) = x³ - y³ -3xy(x+y) (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