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Simplifying a product involving square roots using the distributive property: Basic

Two examples of distributing radicals into a sum of other radicals and simplifying in the process.

From  Tom Grant 11 plays 0  

Simplifying a product of radical expressions: Univariate

A short demonstration of multiplying and then reducing the result when presented with the product of two radical expressions.

From  Tom Grant 9 plays 0  

Solving a rational equation that simplifies to quadratic: Proportional form, advanced

This shows how to use the LCD of the two fractions that form a proportion to simplify the equation to a quadratic equation, then solve the quadratic by factoring and check the validity of the …

From  Tom Grant 10 plays 0  

Introduction to compound interest

A short discussion of how compunde interest works and why the amount in a compound interest account grows more and more quickly.

From  Tom Grant 6 plays 0  

Simplifying a quotient of square roots

Shows that the division of sqaure roots is equivalent to the square root of a fraction, and then simplifies the fraction to complete the task.

From  Tom Grant 8 plays 0  

Simplifying a radical expression with an even exponent

Demonstrats how to free all perfect squar in a radical expression so they are whole.

From  Tom Grant 8 plays 0  

Complex fraction made of sums involving rational expressions: Problem type 3

A complex fraction is multiplied through on the top and the bottom by the common denominator of all smaller fractions, eliminating the denominators of those smaller fractions.

From  Tom Grant 11 plays 0  

Adding rational expressions with multivariate monomial denominators: Basic

This example shows how to factor each denominator and then determine which of these factors are needed to create the least common denominator (LCD). Then the fractions are expanded by multiplying…

From  Tom Grant 6 plays 0  

Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

From  Tom Grant 5 plays 0  

Simplifying a ratio of linear polynomials: 1, -1, and no simplification

This shows four examples just to cover a variety of "looks". There is at least one of each tyoe,

From  Tom Grant 13 plays 0  

Multiplying binomials with negative coefficients

A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.

From  Tom Grant 19 plays 0  

Simplifying a sum or difference of two univariate polynomials

This shows both a subtraction and an addition example for finding the sum and difference of two trinomials.

From  Tom Grant 23 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Introduction to the power of a product rule of exponents

A short demo of this rule

From  Tom Grant 5 plays 0  

Introduction to the power of a power rule of exponents

A short example of how the power rule works.

From  Tom Grant 8 plays 0  

Introduction to the product rule of exponents

The product rule is stated in general and then applied to an example.

From  Tom Grant 15 plays 0