Q16 If x/a = y/b = z/c, prove that
(i)
x3 / a2
+
y3 / b2
+
z3 / c2
=
(x+y+z)3 / (a+b+c)2


(ii) [
a2x2+b2y2+c2z2 / a3x+b3y+c3z
]3 =
xyz / abc


(iii)
ax-by / (a+b)(x-y)
+
by-cz / (b+c)(y-z)
+
cz-ax / (c+a)(z-x)
=3


Solution



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