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16x^2+?x+36 perfect square trinomial

Sagot :

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Answer:

  16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a +b)² = a² +2ab +b²

We want to match this form.

__

comparing terms

Comparing the known terms, we see ...

  16x² = a²   ⇒   a = 4x

  36 = b²   ⇒   b = 6

filling in the missing term

The missing term is the linear term:

  2ab = 2(4x)(6) = 48x

  ? = 48

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