Реферат: Основы математики

S=------ = --------

q-1 q-1

1

lq9m.pdr 2 1

Основные формулы сокращенного умножения.

a2 + b2 = (a + b)2 - 2ab

a2 + b2 = (a - b)2 + 2ab

a2 - b2 = (a - b)(a + b)

(a + b)2 = a2 + 2ab + b2

(a - b)2 = a2 - 2ab + b2

a3 + b3 = (a + b)(a2 - ab + b2)

a3 - b3 = (a - b)(a2 + ab + b2)

an - bn = (a - b)(an-1 + an-2b + an-3b4 + ... +bn-1)

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(a - b)3 = a3 - 3a2b + 3ab2 + b3

(a - b)3 = a3 - b3 - 3ab(a - b)

a4 + b2 + 1 = (a2 + a + 1)(a2 - a + 1)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a + b)5 = a5 + 5a4b + 10a3b2 + 10a2b3 + 5ab4 + b5

|\\\\\\\\\ |\\\\\\\\\

/ A + ?A-B / A + ?A-B

A + B = /---------- + /----------

? 2 ? 2

|\\ |\\ |\\ |\\

a - b = (? a - ? b )(? a + ? b )

|\\ |\\ 3|\\ |\\\ 3|\\

a - b = ((? a - ? b )(? a2 + ? ab + ? b2)

|\\ --> a, если a . 0!

? a2 = ¦a¦-+