lowkeyynene lowkeyynene
  • 09-11-2019
  • Mathematics
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What is the factorization of 49b^ 2 -81 ?

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sqdancefan
sqdancefan sqdancefan
  • 09-11-2019

Answer:

  (7b -9)(7b +9)

Step-by-step explanation:

Each term is a perfect square, so the expression is the difference of squares. In general, that factors as ...

  p^2 - q^2 = (p -q)(p +q)

Here, you have p^2 = 49b^2, so p = 7b; and q^2 = 81, so q = 9. Then the factoring is ...

  (7b -9)(7b +9)

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