Multiply.
-$\left(x^{4}+4\right)\left(x^{4}-4\right)$
A) $x^{8}+16$
B) $x^{8}-16$
C) $x^{8}+8 x^{4}-16$
D) $x^{8}-8 x^{4}-16$

Name: Multiply. -$\left(x^{4}+4\right)\left(x^{4}-4\right)$ A) $x^{8}+16$ B) $x^{8}-16$ C) $x^{8}+8 x^{4}-16$ D) $x^{8}-8 x^{4}-16$
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Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$, where $a = x^4$ and $b = 4$. Thus, $(x^4 + 4)(x^4 - 4) = x^8 - 16$.

Multiply - (x4+4)(x4−4)\left(x^{4}+4\right)\left(x^{4}-4\right)(x4+4)(x4−4) A) x8+16x^{8}+16x8+16 B) x8−16x^{8}-16x8−16 C) x8+8x4−16x^{8}+8 x^{4}-16x8+8x4−16 D) x8−8x4−16x^{8}-8 x^{4}-16x8−8x4−16

Multiply
- $\left(x^{4}+4\right)\left(x^{4}-4\right)$ A) $x^{8}+16$ B) $x^{8}-16$ C) $x^{8}+8 x^{4}-16$ D) $x^{8}-8 x^{4}-16$