Question 187

If m - 5n = 2, then the vlaue of $$(m^{3} - 125n^{3}$$ - 30 mn) is

Solution

Using the formula, $$(x-y)^3 = x^3 - y^3 -3xy(x-y)$$

=> $$(m - 5n)^3 = m^3 - 125n^3 - 15mn(m-5n)$$

=> $$2^3 = m^3 - 125n^3 - 15mn*2$$

=> $$m^3 - 125n^3 - 30mn = 8$$

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