27a3 + 1/64a2 +27a2/4b +9a/16b2

Asked by sumvee2002 | 27th May, 2014, 10:27: AM

Expert Answer:

P l e a s e space c h e c k space y o u r space q u e s t i o n : Q u e s t i o n space s h o u l d space b e : space F a c t o r i z e space 27 a cubed plus fraction numerator 1 over denominator 64 b cubed end fraction plus fraction numerator 27 a squared over denominator 4 b end fraction plus fraction numerator 9 a over denominator 16 b squared end fraction. S o l u t i o n : 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  27 a cubed plus fraction numerator 1 over denominator 64 b cubed end fraction plus fraction numerator 27 a squared over denominator 4 b end fraction plus fraction numerator 9 a over denominator 16 b squared end fraction.... left parenthesis 1 right parenthesis W e space k n o w space t h a t comma space open parentheses x plus y close parentheses cubed equals x cubed plus 3 x squared y plus 3 x y squared plus y cubed... left parenthesis 2 right parenthesis T h u s comma space 27 a cubed plus fraction numerator 1 over denominator 64 b cubed end fraction plus fraction numerator 27 a squared over denominator 4 b end fraction plus fraction numerator 9 a over denominator 16 b squared end fraction equals open parentheses 3 a close parentheses cubed plus open parentheses fraction numerator 1 over denominator 4 b end fraction space close parentheses cubed plus 3 open parentheses 3 a close parentheses squared open parentheses fraction numerator 1 over denominator 4 b end fraction close parentheses plus 3 open parentheses 3 a close parentheses open parentheses fraction numerator 1 over denominator 4 b end fraction close parentheses squared.... left parenthesis 3 right parenthesis C o m p a r i n g space t h e space a b o v e space t w o space e q u a t i o n s space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis comma space w e space h a v e x equals 3 a space a n d space y equals fraction numerator 1 over denominator 4 b end fraction T h u s comma space e q u a t i o n space left parenthesis 1 right parenthesis space b e c o m e s comma 27 a cubed plus fraction numerator 1 over denominator 64 b cubed end fraction plus fraction numerator 27 a squared over denominator 4 b end fraction plus fraction numerator 9 a over denominator 16 b squared end fraction equals open parentheses 3 a plus fraction numerator 1 over denominator 4 b end fraction close parentheses cubed

Answered by Vimala Ramamurthy | 28th May, 2014, 10:20: AM

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