Question
Wed March 11, 2015 By: Harshita Singh

x4 – [a2 – b2] pls solve it fast .its urgent i am not getting this question.

Expert Reply
Vimala Ramamurthy
Thu March 12, 2015
C o n s i d e r space t h e space g i v e n space e x p r e s s i o n colon x to the power of 4 minus open parentheses a squared minus b squared close parentheses R e w r i t i n g space t h e space a b o v e space e x p r e s s i o n comma space w e space h a v e comma x to the power of 4 minus open parentheses a squared minus b squared close parentheses equals open parentheses x squared close parentheses squared minus open parentheses square root of a squared minus b squared end root close parentheses squared W e space k n o w space t h a t space A squared minus B squared equals open parentheses A plus B close parentheses open parentheses A minus B close parentheses T h u s comma space c o m p a r i n g space t h e space g i v e n space e x p r e s s i o n space w i t h space t h e space a b o v e space i d e n t i t y comma space w e space h a v e comma A equals x squared space a n d space B equals square root of a squared minus b squared end root T h u s comma space a p p l y i n g space t h e space i d e n t i t y space i n space t h e space g i v e n space e x p r e s s i o n comma space w e space h a v e comma x to the power of 4 minus open parentheses a squared minus b squared close parentheses equals open parentheses x squared plus square root of a squared minus b squared end root close parentheses open parentheses x squared minus square root of a squared minus b squared end root close parentheses R e w r i t i n g space x squared minus square root of a squared minus b squared end root space a s x squared minus square root of a squared minus b squared end root equals x squared minus open square brackets open parentheses square root of a squared minus b squared end root close parentheses to the power of 1 half end exponent close square brackets squared space space space space space space space space space space space space space space space space space space space space space equals space x squared minus open square brackets open curly brackets open parentheses a squared minus b squared close parentheses to the power of 1 half end exponent close curly brackets to the power of 1 half end exponent close square brackets squared space space space space space space space space space space space space space space space space space space space space space equals space x squared minus open square brackets open parentheses a squared minus b squared close parentheses to the power of 1 fourth end exponent close square brackets squared space space space space space space space space space space space space space space space space space space space space space equals open parentheses space x plus open square brackets open parentheses a squared minus b squared close parentheses to the power of 1 fourth end exponent close square brackets close parentheses open parentheses space x minus open square brackets open parentheses a squared minus b squared close parentheses to the power of 1 fourth end exponent close square brackets close parentheses A g a i n space a p p l y i n g space t h e space i d e n t i t y space f o r space t h e space e x p r e s s i o n comma space x squared minus square root of a squared minus b squared end root comma space w e space h a v e comma A equals x space a n d space B equals fourth root of a squared minus b squared end root x to the power of 4 minus open parentheses a squared minus b squared close parentheses equals open parentheses x squared plus square root of a squared minus b squared end root close parentheses open parentheses x squared minus square root of a squared minus b squared end root close parentheses space space space space space space space space space space space space space space space space space space space space equals open parentheses x squared plus square root of a squared minus b squared end root close parentheses open parentheses x plus fourth root of a squared minus b squared end root close parentheses open parentheses x minus fourth root of a squared minus b squared end root close parentheses
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