Any Formulas In the Mathematics

Mei 12, 2016

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 = a² + 2ab + b²

(a+b)(c+d) = ac + ad + bc + bd
a² - b² = (a+b)(a-b) (Difference of squares)
a³ $(+-)$ b³ = (a $(+-)$ b)(a² $(-+)$ ab + b²) (Sum and Difference of Cubes)
x² + (a+b)x + AB = (x + a)(x + b)

if ax² + bx + c = 0 then x = ( -b $(+-)$ $sqrt$ (b² - 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) = b^th root of (x^a) = ( b^th $(root)$ (x) )^a
x^(-a) = 1 / x^a
x^{(a - b)} = x^a / x^b

Logarithms
y = log_b(x) if and only if x=b^ylog_b(1) = 0
log_b(b) = 1
log_b(x*y) = log_b(x) + log_b(y)
log_b(x/y) = log_b(x) - log_b(y)
log_b(xⁿ) = n log_b(x)log_b(x) = log_b(c) * log_c(x) = log_c(x) / log_c(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.