Factor the expression completely over the complex numbers. x^4 − 625 enter your answer in the box.

You have to observe that and 625 are both squares (of and 25, respectively). So, you can use the "difference of square" pattern for factorization:

to write

Note that, again, is a difference of square:

On the other hands, admits no factorization, because it's a second-degree polynomial (thus a parabola) with no solutions.

So, the whole expression becomes

(x-5)(x+5)(x-5i)(x+5i)

Step-by-step explanation:

I took the quiz.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.