Basic Algebraic Formula's

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 help us to solve terms which have exponent or powers.

1. (x ^m)(y ⁿ) = y^{m + n}
2. (xy) ^m = x ^m y ^m,
3. (x m) ⁿ = x ^mn,
4. x⁰ = 1,
5. (x ^m)/(y ⁿ) = x ^{m – n},
6. x ^-m = 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 x² y + 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 equation are of form ax² + bx + c = 0. Formula to solve these types of equations is called as quadratic equations.

x = -b $\pm$ √(b² – 4ac) / 2a.

This formula finds value of 'x' in given Quadratic Equation.
 
Now we will see some important rules involving zero.

0 / x = 0,

x⁰ = 1,

0^x = 0,

x * 0 = 0,

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.