How to factor expressions that follow the difference of squares pattern
In short: This video explains the difference of squares, a specific algebraic pattern where an expression takes the form a²-b². Understanding this structure allows you to factor these expressions into (a+b)(a-b) quickly and reliably.
The difference of squares method relies on the identity (a+b)(a-b)=a²-b². By recognizing when an expression fits this pattern, you can simplify the factoring process. For instance, the expression x²-25 can be factored directly into (x+5)(x-5).
You can verify this pattern by expanding the parentheses in the product (a+b)(a-b). This algebraic technique is a fundamental tool for simplifying polynomials.
Opens the Intellect+ feed with this card first. Swipe up for the next one.
Sources
- Summary by Intellect · source: Difference of squares intro | Mathematics II | High School Math | Khan Academy
To cite this card, link to https://intellectplus.co.uk/app/ideas-difference-of-squares-intro-mathematics-ii-high-school-math.
How we source, check and correct cards: Editorial standards.
General information, not professional advice. Spotted an error? Flag the card or see corrections and complaints.
Intellect Plus is a visual educational discovery platform for exploring fascinating facts and ideas. Brain Food, Not Brain Rot. What is Intellect Plus?
Related
More in Mathematics · More in Ideas & Philosophy · Latest · A–Z · All topics
