Respuesta :
Answer:
see explanation
Step-by-step explanation:
n² - 16 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b) , then
n² - 16
= n² - 4²
= (n + 4)(n - 4)
cannot be (n + 8)(n - 8)
= n² - 64
Answer/Step-by-step explanation:
Let's first solve [tex](n+8)(n-8)[/tex]
Distribute
[tex]n(n-8)+8(n-8)[/tex]
Distribute
[tex]n^2-8n+8(n-8)[/tex]
Distribute
[tex]n^2-8n+64[/tex]
Combine like terms
[tex]n^2-64[/tex]
Therefore n2-16 is not equal to (n+8)(n-8) because (n+8)(n-8) is equal to n^2-64.
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