Question

find the product, $(x^2 + 6)(x^2 - 8)$. select one: a. $x^4 - 14x^2 - 48$ b. $x^4 - 48$ c. $x^4 - 2x^2 - 48$ d. $x^4 - 2x^2 + 48$

Explanation:

Step1: Apply FOIL method

$(x^2+6)(x^2-8) = x^2 \cdot x^2 + x^2 \cdot (-8) + 6 \cdot x^2 + 6 \cdot (-8)$

Step2: Calculate each term

$= x^4 - 8x^2 + 6x^2 - 48$

Step3: Combine like terms

$= x^4 + (-8x^2+6x^2) - 48 = x^4 - 2x^2 - 48$

Answer:

C. $x^4 - 2x^2 - 48$