因数分解

===== 数学I・A =====
<<< 因数分解の公式 >>>
ma + mb - mc = m(a + b - c)
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
a² - b² = (a + b)(a - b)
x² + (a + b)x + ab = (x + a)(x + b)
acx² + (ad + bc)x + bd = (ax + b)(cx + d)
a³ + b³ = (a + b)(a² - ab + b²)
a³ - b³ = (a - b)(a² + ab + b²)
a³ + 3a²b + 3ab² + b³ = (a + b)³
a³ - 3a²b + 3ab² - b³ = (a - b)³
a² + b² + c² + 2ab + 2ba + 2ca = (a + b + c)²
a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - ba - ca)