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If $$p+q=7$$ and $$pq=5$$, then the value of $$p^{3}+q^{3}$$ is:
$$p^{3}+q^{3} = (p + q)^3 - 3pq(p + q)$$
=$$7^3 - 3 \times 5(7)$$
= 343 - 105 = 238
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