Question 59

If $$x - y = 4$$ and $$xy = 45$$, then the value of $$x^3 - y^3$$ is:

Solution

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x - y = 4

xy = 45

$$x^3 - y^3$$

= $$(x - y)^3 + 3xy(x - y)$$

= $$(4)^3 + 3\times 45(4)$$

= 64 + 540 = 604

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