Question

Question 5:
Factor (x^2 – 9) (x^2 – 5x + 4) completely.

Answer 1

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

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.