Binomial Theorem/Examples/Cube of Sum/Corollary
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Corollary to Cube of Sum
- $\paren {x + 1}^3 = x^3 + 3 x^2 + 3 x + 1$
Proof
Follows directly from the Cube of Sum:
- $\paren {x + y}^3 = x^3 + 3 x^2 y + 3 x y^2 + y^3$
setting $y = 1$.
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $24$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $24$