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Explain why the binomial n2 - 16 is not equal to (n + 8)(n - 8). please helppp due in 10 minutesss

User CreyD
by
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2 Answers

15 votes
15 votes

Answer/Step-by-step explanation:

Let's first solve
(n+8)(n-8)

Distribute


n(n-8)+8(n-8)

Distribute


n^2-8n+8(n-8)

Distribute


n^2-8n+64

Combine like terms


n^2-64

Therefore n2-16 is not equal to (n+8)(n-8) because (n+8)(n-8) is equal to n^2-64.

[RevyBreeze]

User PeraMika
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2.5k points
21 votes
21 votes

Answer:

see explanation

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

User Brendan Long
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3.0k points