Verified answer

12x^5-16x^4+18x^2

divide by 2

6x^5-8x^4+9x^2

factor out x^2

6x^3-8x^2+9x

Gee, that sounds more like a command than a question! Anyway, it's easy enough to factor 2x^2 from the top, then let that cancel with the 2x^2 on the bottom.

(12x^5 - 16x^4 + 18x^2) / 2x^2

2(6x^5 - 8x^4 + 9x^2) / 2x^2

2x^2 (6x^3 - 8x^2 + 9) / 2x^2

6x^3 - 8x^2 + 9

(12x^5 - 16x^4 + 18x^2)/2x^2 = 9x³ - 8x² + 9