Algebraic Expressions
Principal algebraic expressions formulas.
Algebraic expressions are the equations we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon any variable.
Principal algebraic expressions formulas:
a a = a2 (1)
a a a = a3 (2)
a b = ab (3)
a2 b2 = (ab)2 (4)
a2 a3 = a2 + 3 = a5 (5)
a4 / a3 = a(4 - 3) = a (6)
a0 = 1 (7)
(a + b)2 = a2 + 2 ab + b2 (8)
(a - b)2 = a2 - 2ab + b2 (9)
(a + b)3 = a3 + 3a2b + 3ab2 + b3 (10)
(a - b)3 = a3 - 3a2b + 3 ab2 - b3 (11)
a2 - b2 = (a - b) (a + b) (12)
a3 - b3 = (a - b)3 + 3 a b (a - b) (13)
a3 + b3 = (a + b)3 - 3 a b (a + b) (14)
a b = ((a + b) / 2)2 - ((a - b) / 2)2 (15)
a3 / b3 = (a / b)3 (16)
1 / a3 = (1 / a)3 = a-3 (17)
(a2)3 = a2 3 = (a3)2 = a6 (18)
a3 + b3 = (a + b) (a2 - a b + b2) (19)
a3 - b3 = (a - b) (a2 + a b + b2) (20)
(a + b)3 = a3 + 3 a2 b + 3 a b2 + b3 (21)
(a - b)3 = a3 - 3 a2 b + 3 a b2 - b3 (22)
a1/2 a1/2 = a (23)
a1/3 a1/3 a1/3 = a (24)
(a1/3)3 = a (25)
(a2)1/3 = (a1/3)2 = a2∕3 (26)
(a1/3)1/4 = a1/3 1/4 = (a1/4)1/3 (27)
(a b)1/3 = a1/3 b1/3 (28)
(a / b)1/3 = a1/3 / b1/3 (29)
(1 / a)1/3 = 1 / a1/3 = a-1/3 (30)
Note that
a1/2 = √a
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