Question Number 176750 by Tawa11 last updated on 26/Sep/22
![Is there general form of α^n + β^n and α^n − β^n ???? e.g: α^3 + β^3 = (α + β)[(α + β)^2 − 3αβ]](Q176750.png)
$$\mathrm{Is}\:\mathrm{there}\:\mathrm{general}\:\mathrm{form}\:\mathrm{of} \\ $$$$\alpha^{\mathrm{n}} \:\:\:+\:\:\:\beta^{\mathrm{n}} \:\:\:\:\:\mathrm{and}\:\:\:\:\:\:\alpha^{\mathrm{n}} \:\:\:−\:\:\:\beta^{\mathrm{n}} \:\:\:\:\:???? \\ $$$$ \\ $$$$\mathrm{e}.\mathrm{g}:\:\:\:\:\alpha^{\mathrm{3}} \:\:\:+\:\:\:\beta^{\mathrm{3}} \:\:\:\:=\:\:\:\:\left(\alpha\:\:\:+\:\:\:\beta\right)\left[\left(\alpha\:\:\:+\:\:\:\beta\right)^{\mathrm{2}} \:\:\:−\:\:\:\mathrm{3}\alpha\beta\right] \\ $$
Commented by Tawa11 last updated on 26/Sep/22
$$\mathrm{Wow},\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sirs}. \\ $$
Commented by mr W last updated on 26/Sep/22
