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# Basic Algebraic Formulas

TopAlgebra is a branch of mathematics which includes large number of sub concepts. There are some algebra formulas which are defined to solve algebraic problems without any confusion and getting correct results. Some basic college algebra formulas are mentioned below:

Exponent Laws:
These laws helps us to solve terms which have exponent or powers.
1. (xm)(yn) = ym + n
2. (xy)m = xm ym
3. (x m)n = xmn
4. x0 = 1
5. $\frac{x^m}{y^n}$ = xm – n
6. x-m = $\frac{1}{x^m}$

Binomial Theorem:
1. (x + y)1 = x + y
2. (x + y)2 = x2 + 2xy + y2
3. (x + y)3 = x3 + 3x2y + 3xy2 + y3
4. (x + y)4 = x4 + 4x3y + 6x2y2 + 4xy3 + y4
5. (x - y)2 = x2 - 2xy + y2
6. (x - y)3 = x3 - 3 x2y + 3xy2 - y3
7. (x - y) 4 = x4 - 4x3y + 6x2b2 - 4xy3 + y4
8. (x2 - y2) = (x + y) (x - y)

Now, we will discuss some basic math formulas which can be used to solve quadratic equations:

Quadratic equations are of form ax2 + bx + c = 0.

x = -b $\pm$ $\frac{\sqrt{b^2 - 4ac}}{2a}$.

This formula finds value of 'x' in the given quadratic equation.

Now, we will see some important rules involving zero.

$\frac{0}{x}$ = 0

x0 = 1

0x = 0

x * 0 = 0

$\frac{x}{0}$ = Not defined.

Above algebraic formulas list can be used to solve basic algebraic problems, which can range from very simple to very complex problems.