x3+ y3=( x+y) (x2- xy+ y2) 

Asked by Dhwani | 19th Jul, 2016, 11:26: AM

Expert Answer:

begin mathsize 16px style Verify colon space straight x cubed plus straight y cubed equals left parenthesis straight x plus straight y right parenthesis left parenthesis straight x squared minus xy plus straight y squared right parenthesis

Consider comma space RHS equals left parenthesis straight x plus straight y right parenthesis left parenthesis straight x squared minus xy plus straight y squared right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight x cubed minus straight x squared straight y plus xy squared plus straight x squared straight y minus xy squared plus straight y cubed
space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight x cubed plus straight y cubed
space space space space space space space space space space space space space space space space space space space space space space space space space space equals LHS
Hence space proved.
end style

Answered by Rebecca Fernandes | 19th Jul, 2016, 11:51: AM

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