Any Formulas In the Mathematics

Thursday, 12 may 2016 7 : 39 pm. Good Night everyone !!!!!!!, in this night i want make some post about formulas math, here the list of the formula. It's not too much but i think it can help us to study better about math. Anyway, i have file 1300 formulas of math, i will upload it soon !.

a+b) 2 = a 2 + 2ab + b 2
(a+b)(c+d) = ac + ad + bc + bd
a 2 - b 2 = (a+b)(a-b) (Difference of squares)
a 3 (+-) b 3 = (a (+-) b)(a 2(-+) ab + b 2(Sum and Difference of Cubes)
x 2 + (a+b)x + AB = (x + a)(x + b)

if ax 2 + bx + c = 0 then x = ( -b (+-)sqrt(b 2 - 4ac) ) / 2a (Quadratic Formula)

 
Exponential Identities
(Math | Algebra | Exponents)

Powers

x a x b = x (a + b)x a y a = (xy) a
(x a) b = x (ab)
x (a/b) = bth root of (x a) = ( bth (root)(x) ) a
x (-a) = 1 / x a
x (a - b) = x a / x b

Logarithms

y = logb(x) if and only if x=b ylogb(1) = 0
logb(b) = 1
logb(x*y) = logb(x) + logb(y)
logb(x/y) = logb(x) - logb(y)
logb(x n) = n logb(x)
logb(x) = logb(c) * logc(x) = logc(x) / logc(b)


  
  
Conic Sections
(see also Conic Sections)
Point

x^2 + y^2 = 0
Circle

x^2 + y^2 = r^2
Ellipse

x^2 / a^2 + y^2 / b^2= 1
Ellipse

x^2 / b^2 + y^2 / a^2= 1
Hyperbola

x^2 / a^2 - y^2 / b^2= 1
Parabola

4px = y^2
Parabola

4py = x^2
Hyperbola

y^2 / a^2 - x^2 / b^2= 1
For any of the above with a center at (j, k) instead of (0,0), replace eachx term with (x-j) and each y term with (y-k) to get the desired equation.

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