Important Algebraic Formulas
(a+b)²= a²+b²+2ab
(a - b)²= a²+b² - Zab
a2-b2= (a + b)(a - b)
a²+b²= (a+b)²-2ab
or
a+b² (a-b)²+2ab
a3+b3 =(a+b)(a²-ab+b²) = (a+b)³ - 3ab(a+b)
a³-b³ = (a - b)(a²+ab+b²) = (a - b)3 + 3ab(a - b)
2(a²+b²)=(a+b)² + (a−b)²
(a+b)-(a - b)²-4ab
a+b= (a+b) (a-b)[(a+b)2-2ab]
(a-b)²= (a+b)2-4ab
(a+b)²= (a−b)²+4ab
a+b-[(a+b)-Zab)-2(ab)
(a+b+c)²= a+b+c²+2ab+ 2bc+2ca (a+b−c)² = a²+b²+c²+2ab-2bc-2ca
(a-b-c)²= a²+b² + c² - 2ab+2bc-2ca
a3+b3+c3-3abc-(a+b+c) (a+b+c²-ab-be-ca)
a+ab+b+=(a+ab+b²)(a²-ab+b²
a+a²+1=(a+a+1)(a²-a+1) if a+b+c=0 then a3+b3+c3 3abc
a"-b" (a++b*)(a+b²)(a+b)(a - b)
(a+b)²= a²+b²+2ab
(a - b)²= a²+b² - Zab
a2-b2= (a + b)(a - b)
a²+b²= (a+b)²-2ab
or
a+b² (a-b)²+2ab
a3+b3 =(a+b)(a²-ab+b²) = (a+b)³ - 3ab(a+b)
a³-b³ = (a - b)(a²+ab+b²) = (a - b)3 + 3ab(a - b)
2(a²+b²)=(a+b)² + (a−b)²
(a+b)-(a - b)²-4ab
a+b= (a+b) (a-b)[(a+b)2-2ab]
(a-b)²= (a+b)2-4ab
(a+b)²= (a−b)²+4ab
a+b-[(a+b)-Zab)-2(ab)
(a+b+c)²= a+b+c²+2ab+ 2bc+2ca (a+b−c)² = a²+b²+c²+2ab-2bc-2ca
(a-b-c)²= a²+b² + c² - 2ab+2bc-2ca
a3+b3+c3-3abc-(a+b+c) (a+b+c²-ab-be-ca)
a+ab+b+=(a+ab+b²)(a²-ab+b²
a+a²+1=(a+a+1)(a²-a+1) if a+b+c=0 then a3+b3+c3 3abc
a"-b" (a++b*)(a+b²)(a+b)(a - b)
