Brian McLogan
Simplifying a trigonometric expression by getting common denominators
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Brian McLogan
Tutorial for verifying a trigonometric identity
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
How to verify an identity with the sum and difference formulas
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
How to simpify three radicals in an expression, 2root(24) + 5root(27) - root(6)
👉 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
What is the power rule of exponents and how do we apply it
👉 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
Simplify a rational expression with two variables
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Brian McLogan
Multiply an expression by applying product and power to product rule of exponents
👉 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 simplify a radical expression with variables and a number
👉 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
Learn how to divide two rational monomials and simplify
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
Simplifying a radical expression from it's prime factorization
👉 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
Learn how to rationalize the denominator with a radical in numerator and denominator
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
How do negative exponents simplify an expression
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
How to evaluate a function with an expression
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
How to evaluate a function for a monomial
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
Learn how to factor a trinomial when a is one using the box method, x^2 + 7x + 10
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
How to use zero product property to solve a quadratic in factored form
👉Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Brian McLogan
Evaluate Never ending radical | Can You Solve?
Evaluate Never ending radical | Can You Solve?
Brian McLogan
Learn how to find inverse of a function and 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
How to find the inverse and then determine if the inverse is a function
👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Brian McLogan
How to apply the power to power rule with rational exponents
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an...
Brian McLogan
Factoring a binomial by distributive property
👉 Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it...
Brian McLogan
Algebra 2 - Subtraction two rational expressions with complex numbers, ((1 + i)/i) - (3/(4 - i))
In this video playlist you will learn everything you need to know with complex and imaginary numbers ((1 + i)/i) - (3/(4 - i))
Brian McLogan
Pre-Calculus - Simplifying a trigonometric expression with only two functions,tan(x)*cos(x)
In this video playlist you will learn all about Analytic Trigonometry. We will start by simplifying trigonometric expressions using trigonometric identities such as the quotient, reciprocal,Pythagorean Identies as well basic algebraic...
Brian McLogan
Solving a rational expression by multiplying by the LCM
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...