Algebra/Logarithm Flashcards
1
Q
(a+b)^2
A
a^2 + 2ab + b^2
2
Q
(a-b)^2
A
a^2 - 2ab + b^2
3
Q
a^2 - b^2
A
(a - b)(a + b)
4
Q
(a+b)^3
A
a^3 + 3a^2b + 3ab^2 + b^3
5
Q
(a-b)^3
A
a^3 - 3a^2b + 3ab^2 - b^3
6
Q
a^3 + b^3
A
(a + b)(a^2 - ab + b^2)
7
Q
a^3 - b^3
A
(a - b)(a^2 + ab + b^2)
8
Q
(1+x)^n
A
1 + nx
9
Q
Sn (A.P)
A
n/2 [2a + (n-1)d]
10
Q
Sn (G.P)
A
a (r^n - 1) / (r - 1)
11
Q
S(infinite)
A
a / (1 - r)
12
Q
1 + 2 + 3 + … + n
A
n(n + 1) / 2
13
Q
1^2 + 2^2 + 3^2 + … + n^2
A
n(n + 1)(2n + 1) / 6
14
Q
log ab
A
log a + log b
15
Q
log a/b
A
log a - log b
16
Q
log a^n
A
n log a
17
Q
log_b^n a
A
1/n log_b a
18
Q
log_a b
A
1/log_b a
19
Q
log_n m
A
(log_p m) / (log_p n)
20
Q
a^log_a b^k
A
b^k
21
Q
a^log_m b
A
b^log_m a
