msfresh2489 msfresh2489
  • 18-08-2021
  • Mathematics
contestada

Factor the following

9t^2-42t+49

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-08-2021

Answer:

  (3t -7)²

Step-by-step explanation:

We know that the square of a binomial is ...

  (a -b)² = a² -2ab +b²

So, when we see the first and last terms are both perfect squares, we suspect that the trinomial is a perfect square trinomial.

  9t² = (3t)²

  49 = 7²

  -42t = -2(3t)(7) . . . . confirming we have a perfect square

The factorization is ...

  (3t -7)²

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