Brian McLogan
Simplify an expression by combining radicals
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Simplify an expression using power to product and power to quotient rule
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Learn how to take the square root of an expression evenly, root(4x^2)
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
How to divide two functions and then determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to classify a polynomial when divided by a number
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Brian McLogan
Apply operations and then write the polynomial in standard form and find degree and LC
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Curated Video
Complete Modern C++ - Type Conversions - Part II (Primitive to User Type)
This video is an explanation and implementation of how constructors are used by the compiler to perform type conversion. This clip is from the chapter "Operator Overloading" of the series "Complete Modern C++".This section is about...
Curated Video
Complete Modern C++ - Copy elision and how it eliminates extra copies of temporary objects
In this video, we will learn about copy elision and how it eliminates extra copies of temporary objects. This clip is from the chapter "Classes and Objects" of the series "Complete Modern C++".This section gives an overview of classes...
Brian McLogan
Dividing two rational expression by factoring to simplify
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Learn how to rewrite an expression using the value i, 5 - root(-24)
👉 Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...
Brian McLogan
Master Verifying an identity using the double angle formulas
Master Verifying an identity using the double angle formulas
Brian McLogan
Learn how to simplify a complex fraction
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
How do you determine the LCD of rational expressions
How do you determine the LCD of rational expressions
Brian McLogan
How do you add two basic rational expressions with unlike denominators
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Brian McLogan
Find the inverse of a linear function then determine if the inverse is a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Curated Video
Powers of Ten
Learn how to write numbers using the base ten system, then explore what happens when we divide or multiply these numbers. Bonus information about base systems around the world and how those systems influence the way we calculate today.
Curated Video
Evaluating Multiplication Expressions Using Properties
Use the commutative and associative properties to rearrange factors in an expression containing rational numbers.
Math Fortress
Differential Equations: Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how...
Math Fortress
Calculus II: Trigonometric Integrals (Level 7 of 7)
This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the...
Math Fortress
Calculus III: Three Dimensional Vectors (Level 1 of 3)
This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 3 basic examples are also covered illustrating how to solve problems that make use of vectors in space.
Curated Video
Core Java Programming Course- RegEx (regular expressions) Exercise 1
This video presents an exercise on RegEx. This clip is from the chapter "Regular Expressions" of the series "Learn How to Code: The Complete Core Java Programming Course".This section explains the various regular expressions available in...
Brian McLogan
Learn How to Mentally Factor a Trinomial
👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Curated Video
Complete Modern C++ - Dynamic Memory Allocation - Part III (new[] Operator)
This video explains how to create arrays on heap using the new[] operator. • Understand when to use std::optional • Modeling simple failure states or value absence • Section recap This clip is from the chapter "Memory Management – Part...