Algebraic Identities Flashcards
1
Q
Front
A
Back
2
Q
a^2 - b^2
A
(a - b)(a + b)
3
Q
(a + b)^2
A
a^2 + 2ab + b^2
4
Q
a^2 + b^2
A
(a + b)^2 - 2ab
5
Q
(a - b)^2
A
a^2 - 2ab + b^2
6
Q
(a + b + c)^2
A
a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
7
Q
(a - b - c)^2
A
a^2 + b^2 + c^2 - 2ab + 2bc - 2ca
8
Q
(a + b)^3
A
a^3 + 3a^2b + 3ab^2 + b^3
9
Q
(a - b)^3
A
a^3 - 3a^2b + 3ab^2 - b^3
10
Q
a^3 - b^3
A
(a - b)(a^2 + ab + b^2)
11
Q
a^3 + b^3
A
(a + b)(a^2 - ab + b^2)
12
Q
(a + b)^4
A
a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4
13
Q
(a - b)^4
A
a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4
14
Q
a^4 - b^4
A
(a - b)(a + b)(a^2 + b^2)
15
Q
a^5 - b^5
A
(a - b)(a^4 + a^3b + a^2b^2 + ab^3 + b^4)
