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How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

How Do You Use a Shortcut to Factor a Perfect Square Trinomial?

Summary

  1. 9h2+32h+27 is not a perfect square trinomial because 27 is not a perfect square

Notes

    1. A perfect square trinomial has two patterns:
    2. a2+2ab+b2=(a+b)2
    3. a2-2ab+b2=(a-b)2
    1. In order to be a perfect square trinomial, the first and last terms must be perfect squares
    2. The middle term must be equal to 2ab
    1. We need to find a and b for one of the perfect square trinomial patterns below!
    2. a2+2ab+b2=(a+b)2
    3. a2-2ab+b2=(a-b)2
    1. A perfect square trinomial has two patterns:
    2. a2+2ab+b2=(a+b)2
    3. a2-2ab+b2=(a-b)2
    1. We can check our answer by FOILing together the two binomials