If x : y = 3 : 1, then find the ratio X3 – Y3 : X3 + Y3.

1.	If x : y = 3 : 1, then find the ratio X3 – Y3 : X3 + Y3.
Answer» Let x = 3k and y = k Then, \(\frac{x^3-y^3}{x^3+y^3}\) = \(\frac{(3k)^3-k^3}{(3k)^3+k^3}\) = \(\frac{27k^3-k^3}{27k^3+k^3}\) = \(\frac{26k^3}{28k^3}\) = \(\frac{13}{14}\) = 13 : 14.

Answer»

Let x = 3k and y = k

Then, \(\frac{x^3-y^3}{x^3+y^3}\) = \(\frac{(3k)^3-k^3}{(3k)^3+k^3}\) = \(\frac{27k^3-k^3}{27k^3+k^3}\) = \(\frac{26k^3}{28k^3}\) = \(\frac{13}{14}\) = 13 : 14.

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If x : y = 3 : 1, then find the ratio X3 – Y3 : X3 + Y3.

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