Several examples of different types of algebraic expressions are multiplied. The distributive property demonstrates the steps needed to multiply the terms in the expressions. Sal combines the like-terms at the end of the presentation....

So you want to learn how to add polynomials? Here are the steps: rewrite by removing the parentheses, identify the like terms, group like terms together, combine the like terms, and finally rewrite the simplified expression.

This equation has variables on both sides. No problem, right? Follow the steps necessary to solve this problem. Wait! Something is not right. The left side of the equation does not equal the right side of the equation. How can that be?...

Subtracting like terms, combining like terms, and simplifying an expression all refer to the same thing here. The teacher explains two different methods of simplifying this subtraction expression.

Do you want to combine like terms the long way, or the quick way? Well, the instructor shows you both ways, and I bet you will prefer to combine like terms the quick way.

Combining terms that have fraction coefficients means you have to use your prior knowledge of adding and subtracting fractions. Find the least common denominator so you can combine the fractions. Finally put it all back together.

So you have the same variable more than once on the same side? No problem. Just simplify before trying to solve. That means, combine the like terms. Watch as the teacher shows you how to do that.

Apply the distributive property to multiply a monomial times a polynomial to get the area of a rectangle. Then use this information to solve a word problem.

This equation has variables on both sides and the instructor demonstrates how to combine like terms to find the solution. It turns out that the solution has equal values on both sides of the equation, that's why it's an identity...

How the heck do you subtract polynomials? Well, watch the instructor and listen closely as she explains just what to do to subtract polynomials.

FOIL it! What? You want to multiply two binomials then use the FOIL method: First, Outside, Inside, Last. When you have done that, your final step is to combine the like terms.

Use the distributive property to multiply these two trinomials. Then combine all the like terms and make sure to write them in descending order by degrees.

The teacher explains that adding many variables that are the same is like multiplying them. She writes one example using whole numbers and one example with variables.

The instructor illustrates how to distribute a number on the outside of a parentheses to the terms inside the parentheses.

This word problem on simple interest has a bit of a twist. When you read this word problem it boggles the mind. I know, it boggled mine. But never fear, the instructor takes you through this seemingly complicated interest problem...

Yes, it's a real-world word problem, but it's as easy as multiplying a monomial and a polynomial. Then all you have to do is to make sure you write it in simplest form.

How the heck do you subtract polynomials? Well, watch the instructor and listen closely as she explains just what to do to subtract polynomials.

Use the distributive property to multiply these two trinomials. Then combine all the like terms and make sure to write them in descending order by degrees.

The teacher illustrates how to write a quadratic polynomial in standard form. There are a few rules to follow: all like terms must be combined, it must be written in order left to right as the degrees drop, and the coefficient of the...

Complex numbers are investigated in this video lesson. The tutorial demonstrates how to add, subtract, and multiply with the imaginary number i.

This lesson demonstrates how to solve linear equations that have a variable on both sides. It goes over how to combine like terms and how to isolate the variable. [7:27]

Professor Perez's virtual classroom provides examples that demonstrate how to solve linear equations. Part 1. [9:07]

Video tutorial uses examples to reinforce how to simplify linear expressions. [4:49]