Geometric Proof of the Difference of Squares: a² — b²
<p>The <strong>difference of two squares</strong> is subtracting a square number from another squared number. And these numbers don’t have be perfect squares. Thankfully, difference of squares can be factored easily.</p>
<p><strong><em>a² — b²</em></strong> is ubiquitous in mathematics, and it is also supercalifragilisticexpialidocious for algebra.</p>
<pre>
If we speak algebraically:<strong>(a + b)•(a — b) = a² + ba — ab -b²
= a² — b²</strong></pre>
<p>But there is a different and beautiful way to represent <strong><em>a² — b²</em></strong>. We can create multiple representations of this single concept, which is the beauty of mathematics. For instance, geometric objects are powerful in visualizing algebraic formulas and equations.</p>
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