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Multiplying Complicated Polynomials

"When multiplying polynomials, sometimes we come across complicated polynomials that we can use substitution and multiplication to solve. When we have a trinomial where a binomial follows the (a-b)(a+ ...

Multiplying Complex Numbers

"To simplify expressions by multiplying complex numbers, we use exponent rules for i and then simplify further if possible. Remember that, by definition, i^2= -1, which also means that i ^ 4= 1. If m ...

Money Word Problems

"Setting up a system of equations is usually effective when solving money word problems and word problems involving coins. A knowledge of how to solve systems of equations is necessary to solve these ...

Mixture Problems

"Some word problems using systems of equations involve mixing two quantities with different prices. To solve mixture problems, knowledge of solving systems of equations. is necessary. Most often, the ...

Midpoint Formula

"A midpoint is the halfway point between two points on a coordinate axis. To calculate the midpoint, we use the midpoint formula which is the average of the x-values and the average of the y-values. T ...

Arithmetic Series

"We can use what we know of arithmetic sequences to understand arithmetic series. An arithmetic series is a series or summation that sums the terms of an arithmetic sequence. There are methods and for ...

Arithmetic Sequences

"A list of numbers that follows a rule is called a sequence. Sequences whose rule is the addition of a constant are called arithmetic sequences, similar to geometric sequences that follow a rule of mu ...

Matrix Operations

"When working with matrices, we can perform a number of matrix operations including matrix addition and subtraction. When adding or subtracting matrices, we first need to ensure that the matrices have ...

Matrix Multiplication

"When working with matrices, we can perform a number of matrix operations including matrix multiplication. When multiplying matrices, we first need to ensure that the matrices have the same dimension ...

Matrix Algebra

"One of the most commonly used applications of square matrices is solving systems of linear equations. The methods of solving systems of linear equations using matrix algebra are much more efficient t ...

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