07 (a+b)+(b + c)+(c+a) -3(a+b)(b + ...
Question
Fullscreen

07 (a+b)+(b + c)+(c+a) -3(a+b)(b + c)(c+a) a3 + b3 + c-3abc

JEE/Engineering Exams
Maths
Solution
115
Rating
4.0 (1 ratings)
Fullscreen
( frac{(a+b)^{3}+(b+c)^{3}+(c+a)^{3}-3(a+b)(b+c)(c+a)}{a^{3}+b^{3}+c^{3}-3 a b c} ) we know ( x^{3}+y^{3}+z^{3}-3 a b c=left(x^{2}+y^{2}+2^{2}-x y-y z-2 xright) ) ( (x+y+2) ) ( (a+b+b+c+c+a)left[(a+b)^{2}+(b+c)^{2}+(c+a)^{2}-(a+b)(b+c)-(b+c)(c+a)right. ) ( (a+b+c) quadleft(a^{2}+b^{2}+c^{2}-a b-b c-c aright)-(c+a)(a+b) ) ( 2(a+b+c)left[a^{2}+b^{2}+2 a b+b^{2}+c^{2}+2 b c+c^{2}+a^{2}+2 a c-a b-a c-b^{2}-b cright. ) ( b e-b a-e^{x}-c a-a c-c b-a^{2}-a b ) ( (a+b+c) quadleft(a^{2}+b^{2}+c^{2}-a b-b c-c aright) ) ( frac{2left(a^{2}+b^{2}+c^{2}-a b-a c-b cright)}{left(a^{2}+b^{2}+c^{2}-a b-b c-c aright)} ) ( Rightarrow quad underline{2} )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free