To find the product of \((n^3 + 5)(n^3 - 5)\), we can use the difference of squares formula, which states:
\[ (a + b)(a - b) = a^2 - b^2 \]
In this case, \(a = n^3\) and \(b = 5\). Applying the formula, we get:
\[
(n^3 + 5)(n^3 - 5) = (n^3)^2 - 5^2
\]
Now, compute the squares:
\[
(n^3)^2 = n^6
\]
\[
5^2 = 25
\]
Therefore, the expression simplifies to:
\[
n^6 - 25
\]
So, the correct answer is:
\[ n^6 - 25 \]
17.
Find the product.
(n3 + 5)(n3 – 5)
n6 – 10n3 + 25
n6 – 125
n6 – 10n3 – 25
n6 – 25
1 answer