if x,y are two positive odd integers thenx2+y2 _____

answer given in test odd,is it right ? if yes then please tell me how.

thanks

Asked by kumkum210580 | 11th Jun, 2016, 04:48: PM

Expert Answer:

begin mathsize 12px style I f space apostrophe x apostrophe space i s space a n space o d d space i n t e g e r comma space t h e n space x squared space i s space a l w a y s space o d d.
S i m i l a r l y comma space i f space apostrophe y apostrophe space i s space a n space o d d space i n t e g e r comma space t h e n space y squared space i s space a l w a y s space o d d.
S i n c e comma space b o t h space x squared space a n d space y squared space a r e space o d d comma space t h e i r space s u m space s h o u l d space b e space e v e n.
open parentheses because s u m space o f space t w o space o d d space n u m b e r s space i s space e v e n close parentheses
S o comma space w e space c o n c l u d e space t h a t space x squared plus y squared space s h o u l d space b e space a n space e v e n space n u m b e r comma
end style

Answered by satyajit samal | 13th Jun, 2016, 09:49: AM