Answer:
2 x^2 (2 x - 3) (x^2 + 1)
Step-by-step explanation:
Factor the following:
4 x^5 - 6 x^4 + 4 x^3 - 6 x^2
Factor 2 x^2 out of 4 x^5 - 6 x^4 + 4 x^3 - 6 x^2:
2 x^2 (2 x^3 - 3 x^2 + 2 x - 3)
Factor terms by grouping. 2 x^3 - 3 x^2 + 2 x - 3 = (2 x^3 - 3 x^2) + (2 x - 3) = x^2 (2 x - 3) + (2 x - 3):
2 x^2 x^2 (2 x - 3) + (2 x - 3)
Factor 2 x - 3 from x^2 (2 x - 3) + (2 x - 3):
Answer: 2 x^2 (2 x - 3) (x^2 + 1)
