Question 72

If $$p+q=7$$ and $$pq=5$$, then the value of $$p^{3}+q^{3}$$ is:

Solution

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$$p^{3}+q^{3} = (p + q)^3 - 3pq(p + q)$$

=$$7^3 - 3 \times 5(7)$$

= 343 - 105 = 238

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