PIL import Image import pytesseract

Load the uploaded image

image_path = '/mnt/data/1733348010225wac2gw8j.jpg' text = pytesseract.image_to_string(Image.open(image_path))

textThe problem reads:

$\frac{18u^7 + 12u^5 - 16u^4}{2u^3}$

Solution:

Divide each term in the numerator by $2u^3$:

1. $\frac{18u^7}{2u^3} = 9u^{7-3} = 9u^4$
2. $\frac{12u^5}{2u^3} = 6u^{5-3} = 6u^2$
3. $\frac{-16u^4}{2u^3} = -8u^{4-3} = -8u^1 = -8u$

Simplified Result:

$9u^4 + 6u^2 - 8u$

Let me know if you have any questions or need more details.

Expansion Questions:

1. Would you like an explanation of polynomial division step-by-step?
2. Should I solve a similar problem for practice?
3. Would you like to verify this solution with substitutions for $u$?
4. Do you need help understanding the exponents in division?
5. Would you like this expressed in another form, like factored?

Tip: Always reduce exponents and coefficients individually during polynomial division.