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College Algebra / Unit 2   Alg 088 short lesson, about 20 seconds

Factoring a Perfect Square Trinomial

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The idea

A perfect square trinomial factors as the square of a binomial: a² + 2ab + b² = (a + b)².

In practice

x² + 10x + 25: the ends are squares of x and 5, and the middle is twice their product, so (x + 5)².

Where people slip

Check the middle term; the ends alone prove nothing.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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