Question 126

If a + b + 1 = 0, then the value of $$(a^3 + b^3 +1 - 3ab)$$ is

Solution

given that a + b + 1 = 0

we know if a+b+c = 0

then $$a^3 + b^3 + c^3 - 3abc$$ = 0

as we can see that $$(a^3 + b^3 +1 - 3ab)$$ resembles $$a^3 + b^3 + c^3 - 3abc$$ with c = 1

and hence $$(a^3 + b^3 +1^3 - (3ab \times 1))$$ = 0

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