Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)$
A) $x ^ { k ^ { 2 } } - 64$
B) $x ^ { 2 k } - 64$
C) $x ^ { 2 k } + 64$
D) $x ^ { 2 ^ { k } } - 64$
E) $x ^ { k ^ { 2 } } + 64$

Question

Quizplus · Accepted Answer

Using the difference of squares formula, we get:
$$\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right) = x^k \cdot x^k - 8x^k + 8x^k - 64 = x^{2k} - 64$$
Therefore, the answer is (B).

Find the Indicated Product (xk−8)(xk+8)\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)(xk−8)(xk+8)

Find the Indicated Product $\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)$