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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 ...

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 ...

ASA and AAS

"If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. If two pairs of corresponding angles and the side between them are known ...

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 ...

Area of Triangles

"The formula for calculating the area of triangles comes from dividing a parallelogram in half, so the area is half of base times height. When finding the area of a triangle, the height is an altitud ...

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 ...

Area of Trapezoids

"The area formula for a trapezoid is found by making a parallelogram made up of two congruent trapezoids. To do this, copy a trapezoid, rotate the copy 180 degrees, and translate to create a parallel ...

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