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Select the polynomial that is a perfect square trinomial.

49x2 − 8x + 16
4a2 − 10a + 25
25b2 − 5b + 10
16x2 − 8x + 1

Respuesta :

sqdancefan

Answer:

  16x^2 -8x +1

Step-by-step explanation:

The square of a binomial expands as ...

  (a +b)^2 = a^2 +2ab +b^2

So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.

This pattern matches ...

  16x^2 -8x +1 = (4x -1)^2

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