# Mathematics I (Math 1132)

Durham College, Mathematics
Free
• 42 lessons
• 0 quizzes
• 10 week duration
• ##### Measurements

An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

• ##### Fractions, Percentage, Ratios and Proportion

Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.

• ##### Geometry

This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.

## Mathematics I (Math 1132)

### Sum or Difference of Cubes

Generally, the higher the degree of a polynomial, the harder it becomes to factor. The highest degree you’re expected to factor in this course are cubic equation (those raised to the power of three). Specifically, we’ll look at examples similar in structure to quadratics that are a difference of square, called a difference or sum of cubes. Their general format is displayed below:

Sum of cubes:

${a}^{3}+{b}^{3}=\left(a+b\right)\left({a}^{2}–ab+{b}^{2}\right)\phantom{\rule{0ex}{0ex}}$

Difference of cubes:

${a}^{3}–{b}^{3}=\left(a–b\right)\left({a}^{2}+ab+{b}^{2}\right)\phantom{\rule{0ex}{0ex}}$

The video below will outline how these expressions are factored: