give me the proof of a^3+b^3.
 

Asked by ARJUN | 3rd Aug, 2014, 12:48: PM

Expert Answer:

W e space k n o w space t h a t space a cubed plus b cubed equals open parentheses a plus b close parentheses open parentheses a squared plus b squared minus a b close parentheses C o n s i d e r space R H S equals space open parentheses a plus b close parentheses open parentheses a squared plus b squared minus a b close parentheses I f space w e space m u l t i p l y space a b o v e space t e r m s space w e space g e t space open parentheses a plus b close parentheses open parentheses a squared plus b squared minus a b close parentheses equals a cubed plus a b squared minus a squared b plus b a squared plus b cubed minus a b squared space open parentheses a plus b close parentheses open parentheses a squared plus b squared minus a b close parentheses equals a cubed plus b cubed plus a b squared minus a b squared plus b a squared minus b a squared equals a cubed plus b cubed rightwards double arrow L H S equals R H S H e n c e space P r o v e d

Answered by Dharma Teja | 4th Aug, 2014, 08:44: AM

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