Factoring a Perfect Square Trinomial
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State
A perfect square trinomial factors as the square of a binomial: a² + 2ab + b² = (a + b)².
Show
x² + 10x + 25: the ends are squares of x and 5, and the middle is twice their product, so (x + 5)².
Watch for
Check the middle term; the ends alone prove nothing.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.