Question

If x:a=y:b=z:c then show that x^3/a^2 +y^3/b^2+z^3/c^2 =(x+y+z)^3/(a+b+c)^2

Answer 1

Answer:

Step-by-step explanation:

let x/a=y/b=z/c=k .then x= ak ,y= bk, z=ck

then the expression on left hand side reduces to

k^3 + k^3+k^3=3k^3

which is equal to expression on the right.