Simplification Flashcards
1
Q
(a+b)^2
A
a^2 + b^2 + 2ab
2
Q
(a-b)^2
A
a^2 + b^2 - 2ab.
3
Q
(a+b)^2 + (a-b)^2
A
2(a^2 + b^2)
4
Q
(a+b)^2 - (a-b)^2
A
4ab
5
Q
(a^2 - b^2)
A
(a+b)(a-b)
6
Q
(a+b)^3
A
a^3 + b^3 + 3ab(a+b)
7
Q
(a-b)3
A
a^3 - b^3 - 3ab(a-b)
8
Q
(a^3 + b^3)
A
(a+b)(a^2 - ab + b^2)
9
Q
a^3 - b^3
A
(a-b)(a^2 + ab + b^2)
10
Q
(a+b+c)^2
A
a^2 + b^2 + c^2 + 2(ab + bc + ca)
11
Q
a^3 + b^3 + c^3 - 3abc
A
(a+b+c)(a^2 + b^2 + c^2 -ab -bc - ca)
12
Q
n(A-B) + n(A intersection B)
A
n(A)
13
Q
n(B-A) + n(A intersection B)
A
n(B)
14
Q
n(A union B)
A
n(A-B) + n(A intersection B) + n(B-A)
15
Q
n(A union B)
A
n(A) + n(B) - n(A intersection B)
