Question

what is the answer of this question

Answer 1

Hi there !!

We know a lil bit different identity which is as follows :
In case a , b and c in an expression are equal,

a³ + b³ + c³ = 3abc

here,
we need to check if a , b and c , which in this case are (2r - 3s) , (3s - 5t) and (5t - 2r) add up to 0
So,

2r - 3s + 3s - 5t + 5t - 2r adds up to 0 !
so,

(2r - 3s)³+ (3s - 5t)³ + (5t - 2r)³

= 3(2r - 3s)(3s - 5t)(5t - 2r) [Answer . ]



Hope it helps :D