Question 126

If $$p = 99$$, then the value of $$p (p^{2} + 3p + 3)$$ is

Solution

$$p (p^{2} + 3p + 3)$$

= $$p^{3} + 3p^{2} + 3p$$

= $$p^{3} + 3p^{2} + 3p+1-1$$

= $$(p+1)^{3}-1$$

= $$(99+1)^{3}-1$$

= $$(100)^{3}-1$$

= $$1000000-1$$

= $$999999$$

so the answer is option D.


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