fyw2025
contestada

prove that for any natural value of n the value of the expression (n+2)^2-(n-2)^2 is a multiple of 8.

Respuesta :

mhanifa

Answer:

Se below

Step-by-step explanation:

Simplifying, using formula a^2 - b^2 = (a +b)(a - b)

  • (n + 2)^2 - (n - 2)^2 =
  • (n + 2 + n - 2)(n + 2 - n + 2) =
  • 2n(4) =
  • 8n

As  we see the resulting expression is multiple of 8
5866 is the answer to this

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