整式の加法・減法・乗法

===== 数学Ⅰ・A =====
<<< 基本法則 >>>
a + b = b + a
ab = ba
(a + b) + c = a + (b + c)
(ab)c = a(bc)
a(b + c) = ab + ac
(a + b)c = ac + bc

<<< 指数法則 >>>
m, nは整数のとき
a^maⁿ = a^{m + n}
(a^m)ⁿ = a^mn
(ab)^m = a^mb^m

<<< 乗法公式 >>>
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
(a + b)(a - b) = a² - b²
(x + a)(x + b) = x² + (a + b)x + ab
(ax + b)(cx + d) = acx² + (ad + bc)x + bd
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³
(a + b)(a² - ab + b²) = a³ + b³
(a - b)(a² + ab + b²) = a³ - b³
(a + b + c)² = a² + b² + c² + 2ab + 2ba + 2ca
(x + a)(x + b)(x + c) = x³ + (a + b + c)x² + (ab + bc + ca)x + abc