Factoring the Difference of Squares

This animation walks through factoring x² − 25 by recognizing it as a difference of squares pattern, a² − b² = (a + b)(a − b). It shows how 25 becomes 5², matches the form, and splits into (x + 5)(x − 5), with a quick check by expanding back. Built for ASVAB prep, it helps students spot this common factoring shortcut quickly on test day instead of using long division or guesswork.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Explain this exercise to an ASVAB student: Difference of Squares: Factor x² − 25. Color Scheme: #17271F #D6EE59 #F5F6F1 #5E6961 #FAFBF6 #D9DFD3 Use light color for background. Audience: 13-18

Make your own version

Make the next one in this series

• Show how to factor a perfect square trinomial like x² + 10x + 25
• Explain factoring by grouping for four-term polynomials on the ASVAB
• Demonstrate solving x² − 25 = 0 using the factored form