(a + b)^2
a^2 + 2ab + b^2
(a – b)^2
a^2 – 2ab + b^2
(a+b)^2 - 4ab
a^2 – b^2
(a + b)(a – b)
(x + a)(x + b)
x^2 + (a + b) x + ab
(a + b + c)^2
a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
(a + b)^3
a^3 + b^3 + 3ab (a + b)
(a – b)^3
a^3 – b^3 – 3ab (a – b)
a^3 + b^3 + c^3 – 3abc
(a + b + c)(a^2 + b^2 + c^2 – ab – bc – ca)
a^3 +b^3
(a+b)(a^2 -ab +b^2)
a + b )^3 - 3ab(a+b
a^3 -b^3
(a-b)(a^2 + ab +b^2)
a - b)^3 + 3ab (a - b
y
sinθ
x
cosθ
a^2 + b^2
(a + b)^2 - 2ab
D < 0
no real roots
D > 0
real and distinct
D = 0
real and equal roots
D is a perfect square
rational roots
D is not a perfect square
irrational roots
π/12
15
π/6
30
π/4
45
π/3
60
π/2
90
2 π/3
120