Algebraic Simplification: (x² - 9)/(x² + 6x + 9)

December 10, 2025

Problem

Simplify: (x² - 9)/(x² + 6x + 9)

Explanation

This visualization shows how the rational function (x² - 9)/(x² + 6x + 9) simplifies to (x - 3)/(x + 3), and why x ≠ -3. The blue curve is the original function, the yellow curve is the simplified function, and the hollow neon point marks the removable discontinuity (hole) at x = -3.

Interactive Visualization

Parameters

Horizontal Zoom12.00

Vertical Zoom10.00

Show Factored Pieces

Trace x (excluding -3)0.00

Your turn

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