Question 5:

Factor (x^2 - 9) (x^2 - 5x + 4) completely.

I believe the answer is (x+3) (x-3) (x-4) (x-1)

Step-by-step explanation:

Notice both terms are perfect squares, therefore you can factor using the difference of squares formula:

(x²-9) (x²-5x+4)

For the first term, we get (x+3) (x-3) because x²-9 is a perfect square.

For the second term, we get (x-4) (x-1) because x²-5x+4 is a perfect square trinomial.

If you have any further questions about this problem, you can comment them down below and I'll try to answer them.