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Home » Algebra Formulas » Basic Algebra Formulas

# Basic Algebra Formulas

## Laws of Exponents

## Polynomial Formulas

## Multiplying Polynomials Using FOIL

## Square of a Binomial

## Difference of Two Squares

## Polynomials - Special Factoring

## Perfect Square Trinomial

## Difference of Two Squares

## The Sum and Difference of Two Cubes

## Quadratic Formula

## Vertex Formula

## Quadratic Formula

## Pythagorean Theorem

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Here you'll find all of your basic algebra formulas for the following topics:

- Laws of Exponents
- Multiplying Polynomial Formulas
- Special Factoring Formulas
- Quadratic Equation Formulas
- Pythagorean Theorem

There are several different "laws" or properties when working with exponents:

For detailed examples on how to use the laws of exponents, click here.

Next we'll look at a few formulas that can be used when working with polynomials.

There are special rules or formulas that can be used when multiplying polynomials or factoring polynomials. Let's take a look:

To multiply two polynomials, multiply each term in the first polynomial by each term in the second polynomial. This is also known as using FOIL.

For detailed examples on using the FOIL Method, please click here.

To square a binomial, you add: the square of the first term, twice the product of the two terms, and the square of the last term. Take a look:

Click here for step by step examples on squaring a binomial.

When two binomials differ only by the sign between their terms (one a plus, the other a minus), we call this a Difference of Two Squares.

The rule is very easy to remember: Subtract the square of the second term from the square of the first term. Take a look:

Step by step examples of problems involving a difference of two squares can be found here.

The following formulas will actually take our special products from above and work backwards to factor. Same rules, we are just working backwords to find the factors.

A perfect square trinomial results in binomial squares.

If you notice that the first and last terms are perfect squares, then check to see if the trinomial factors as a binomial square.

The following are the formulas for factoring the sum and difference of two cubes:

There are two formulas that are associated with quadratic equations: the vertex formula and the quadratic formula.

The vertex formula is used when you must find the vertex (minimum or maximum point) of the parabola.

Click here for detailed examples on using the vertex formula.

You can use the quadratic formula to solve ANY quadratic equation. It is used most when the quadratic equation is non-factorable.

Click here to see step-by-step examples using the quadratic formula.

Our last basic algebra formula is the Pythagorean Theorem.

The Pythagorean Theorem is used to identify the length of the sides of any right triangle.

Click here for detailed examples on using the Pythagorean Theorem.

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