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a-b-2-




Question Number 47068 by 143jesus last updated on 04/Nov/18
(a−b)^2
$$\left(\mathrm{a}−\mathrm{b}\right)^{\mathrm{2}} \\ $$
Answered by ajfour last updated on 04/Nov/18
= (a−b)(a−b)  = a(a−b)−b(a−b)  = a^2 −ab−ba+b^2   = a^2 −2ab+b^2  .
$$=\:\left({a}−{b}\right)\left({a}−{b}\right) \\ $$$$=\:{a}\left({a}−{b}\right)−{b}\left({a}−{b}\right) \\ $$$$=\:{a}^{\mathrm{2}} −{ab}−{ba}+{b}^{\mathrm{2}} \\ $$$$=\:{a}^{\mathrm{2}} −\mathrm{2}{ab}+{b}^{\mathrm{2}} \:. \\ $$

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