Factor. Assume that variables used as exponents represent positive integers.
-$x ^ { 2 n } - 4$
A) $\left( x ^ { n } - 2 \right) ^ { 2 }$
B) $\left( x ^ { n } + 2 \right) \left( x ^ { n } - 2 \right)$
C) $\left( x ^ { n } + 2 \right) ^ { 2 }$
D) prime polynomial

Question

Quizplus · Accepted Answer

The expression $x^{2n} - 4$ is a difference of squares, which can be factored as $(a^2 - b^2) = (a + b)(a - b)$. Here, $a = x^n$ and $b = 2$, so the factored form is $(x^n + 2)(x^n - 2)$.

Factor Assume That Variables Used as Exponents Represent Positive Integers x2n−4x ^ { 2 n } - 4x2n−4

Factor Assume That Variables Used as Exponents Represent Positive Integers $x ^ { 2 n } - 4$