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  • If x=a(b-C) y=b(c-a) z= c(a-b) then find (x^3/a^3)+(y^3/b^3)+(z^3/c^3)=

If x=a(b-C) y=b(c-a) z= c(a-b) then find (x^3/a^3)+(y^3/b^3)+(z^3/c^3)=

Answers (1)

x=a(b-c) 0r x/a = (b-c)……………..(1)

y =b(c-a) or y/b = (c-a)…………………(2)

z= =c(a-b) or z/c =(a-b)…………………….(3).

 

We have on adding eq.(1) ,(2) & (3).

x/a+y/b+z/c=b-c+c-a+a-b =0.

If x/a+y/b+z/c=0 then

(x/a)^3+(y/b)^3+(z/c)^3=3×(x/a)×(y/b)×(z/c).

or (x/a)^3+(y/b)^3+(z/c)^3 =3.x.y.z/a.b..c.

Posted by

shubham.krishnan

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