Question

1. which expression is equivalent to (x^4 - 16) when factored completely? drag and drop the answer into the box below. ((x - 2)) ((x + 2)) ((x - 4)) ((x^2 - 4)) (square (x + 2)(x^2 + 4))

Explanation:

Step1: Recognize difference of squares

$x^4 - 16 = (x^2)^2 - 4^2$

Step2: Apply difference of squares formula

$(x^2)^2 - 4^2 = (x^2 - 4)(x^2 + 4)$

Step3: Factor remaining difference of squares

$x^2 - 4 = (x - 2)(x + 2)$

Step4: Combine all factors

$(x - 2)(x + 2)(x^2 + 4)$

Answer:

$(x - 2)(x + 2)(x^2 + 4)$