Question 163

If x = 2 then the value of $$x^{3}+27x^{2}+243x+631$$ is

Solution

$$x^{3}+27x^{2}+243x+631$$ the following equation is equal to $$(x+9)^3$$ - 98

So using value of x = 2 which is given in question

$$x^{3}+27x^{2}+243x+631$$ = $$(x+9)^3$$ - 90 = $$(11^3)$$ - 98

= 1331 - 98

= 1233


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