Question

what is the value of (209 * 209 * 209 - 144 * 144 * 144)/(209 * 209 + 209 * 144 + 144 * 144) ?
Ans:-
65.
Solve:-
=(209 * 209 * 209 - 144 * 144 * 144)/(209 * 209 + 209 * 144 + 144 * 144)
=(9129329 - 2985984)/(43681 + 30096 + 20736)
=(6143345 / 94513)
=65.

Answer 1

Answer:

65

Step-by-step explanation:

Suppose, lets consider

x = 209 and y = 144

209 * 209 * 209 = x ^ 3

144 * 144 * 144 = y ^ 3

209 * 209 + 209* 144 + 144* 144 = x^2 + xy + y^2

x^3 - y^3 = (x - y) (x^2 + xy + y^2) / ( x^2 + xy + y^2)

Hence second bracket is cancelled,

So (x - y) remaining

Therefore,

x - y = 209 - 144

= 65

I hope it helps

Thank you....

Answer 2

Answer:

65

Step-by-step explanation:

The answer is given bro.!!