The Difference of Squares
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State
Multiplying conjugate binomials collapses to a difference of squares: (a + b)(a − b) = a² − b², with no middle term.
Show
(x + 6)(x − 6): the outer and inner products, −6x and 6x, cancel, leaving x² − 36.
Watch for
The pattern needs opposite signs and matching terms.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.