I f space x minus y equals 5 space a n d space x y equals 84 comma space f i n d space t h e space v a l u e space o f space space x cubed minus y cubed.

Asked by kishor.kp14 | 19th Jun, 2019, 09:47: AM

Expert Answer:

begin mathsize 16px style We space know space that comma
straight x cubed space minus space straight y cubed space equals space open parentheses straight x space minus space straight y close parentheses open parentheses straight x squared space plus space xy space plus space straight y squared close parentheses
space space space space space space space space space space space space
We space have space straight x space minus space straight y space equals space 5
Squaring space on space both space the space sides comma space we space get space
straight x squared space plus space straight y squared space minus space 2 xy space equals space 5
rightwards double arrow straight x squared space plus space straight y squared space space equals space 25 space plus space 2 xy space
space space space space space space space space space space space space space space space space space space space space equals space 25 space plus space 2 left parenthesis 84 right parenthesis space
space space space space space space space space space space space space space space space space space space space space equals space 193 space space space space space space space space space space space space space space space space space space space space...... since space xy space equals 84
rightwards double arrow straight x cubed space minus space straight y cubed space space space equals space open parentheses straight x space minus space straight y close parentheses open parentheses straight x squared space plus space xy space plus space straight y squared close parentheses
space space space space space space space space space space space space space space space space space space equals space 5 left parenthesis 193 space plus space 84 right parenthesis space space space space space space space space space space space space space space space space space space space space.... since space straight x space minus space straight y space equals space 5
space space space space space space space space space space space space space space space space space space equals 1385
space space space space space space space space space space space space space space end style

Answered by Yasmeen Khan | 19th Jun, 2019, 09:56: AM