Factoring & Expansion

Explore the geometry of expanding algebraic products. Graphically partition quadratic equations on 2D planes, and slice volumetric prisms to prove the difference of cubes in 3D coordinate grids.

Module Index

Syllabus Visualizers

Select one of the interactive workbooks below to study how multiplication distributes over terms. Toggle sliders, dynamically deform shapes, and solve quizzes.

WORKSHEET 01 ★

(x + p)(x + q) = x² + (p+q)x + pq

Quadratic Area Models

Visualize polynomial expansions on a 2D coordinate grid. Shift variables and watch the area partition into quadratic, linear, and constant quadrants.

Open 2D Area Workspace

WORKSHEET 02 ★

a³ - b³ = (a - b)(a² + ab + b²)

Difference of Cubes

Slice an isometric 3D cube model. Understand how removing a smaller corner cube partitions the remaining solid into three distinct rectangular prisms.

Open 3D Volume Workspace