Algebra Formula List

Algebra is the main branch in mathematics. The term Algebra treats the relations and properties of quantity using letters and symbols. It includes variables, algebraic expressions, equations, functions, inequalities. The title translates almost to "restoring and balancing", referring to the primary algebraic method of performing an operation on one side of an equation and restoring the balance, or equality, by doing the same thing to the other side. Let us learn  all Algebra formula list.

 

learn free algebra formula list:

 

different types of free algebra  formula list:

Factoring  :

introduction to Factoring formulas

  •            (a  +  b)2   =   a2   +  2ab  +b2
  •            (a   -   b)2   =   a2  -   2ab  +  b2
  •            (a2 + b2)=    (a + b)   *    (a  + b)
  •             a2n  -   b2m =  ( a- bn) (a+  bn)
  •             x2 - y =   (x + y) .( x - y)
  •             (x3 - y3)  =  (x - y) ( x+ xy + y2)
  •              (x+ y3)  = (x + y) (x- xy + y2)

Complex Numbers :

  •             a + bi

Imaginary Numbers :

  •            i2=-1

Addition and subtraction properties : :

  •              If a = b, then a + c = b + c, and a – c = b – c

Distributive property :

  •               a(b + c) = ab + ac

Fractions :

  •               (a / b) /(c / d )  =  (a /b)  *  (d/c) 

Exponential Equations :

introduction to Exponential Equations

  •             an * am =  an+m
  •               (a.* b)n=  a.bn
  •             1n = 1
  •              (xn)/(xm) = xn-m
  •              xnyn  =  (xy)n
  •              x0  =  1
  •              x-n =  1/(xn)

Absolute Value Equations/Inequalities :

introduction to Absolute Value Equations

  • If b is a positive number
  • ?p?= b      p= -b or p=b
  • ?p? < b   =  -b < p< b
  • ?p?>   p< -b   or  p>b

 

free algebra formula list for Quadratic

 

The solutionts of the quadratic equation ax2 + bx + c = 0 are x = -b ±?b2-4ac/2a

  •       If b2 - 4ac > 0 - Two real unequal solns.
  •        If b2 - 4ac = 0 - Repeated real solution.
  •        If b2 - 4ac < 0 - Two complex solutions.

Binomial Formulas :

introduction toBinomial Formulas

  •        (x + y)n =  xn + nxn-1y+n(n-1)/1.2 xn-2y2+...........+.nxyn-1+yn.
  •        (x - y)n =  xn - nxn-1y+n(n-1)/1.2 xn-2y2+...........±.nxyn-1±yn.

these are the free algebra formula lists.