PIL import Image

Load the uploaded image to understand its content

image_path = "/mnt/data/1738750701113z549nxq2.jpg" img = Image.open(image_path)

Show the image to understand it

img.show()It seems that the image contains a mathematical expression that you would like to simplify. Let me extract the details and provide the final answers.

Based on the image, the expressions to simplify are:

a) $3x^2 \cdot (x^2 - 5x)$ b) $4a \cdot (6b + a^4)$ c) $(5xy + 7x - 3) \cdot 4x$

Now, I'll perform the simplifications and provide the final answers. sympy import symbols, expand

Define the variables

x, a, b, y = symbols('x a b y')

Define the expressions

expr_a = 3x2 * (x2 - 5x) expr_b = 4a * (6b + a**4) expr_c = (5xy + 7x - 3) * 4x

Expand the expressions

simplified_a = expand(expr_a) simplified_b = expand(expr_b) simplified_c = expand(expr_c)

simplified_a, simplified_b, simplified_cHere are the simplified expressions:

a) $3x^4 - 15x^3$

b) $4a^5 + 24ab$

c) $20x^2y + 28x^2 - 12x$

Feel free to ask for further details or clarification! Here are some related questions:

1. How do you factor a polynomial like $3x^4 - 15x^3$?
2. What happens if you substitute specific values for $a$ and $b$ in the second expression?
3. Can you simplify expressions with more terms or variables like $20x^2y + 28x^2 - 12x$?
4. How would you solve an equation that involves one of these simplified expressions?
5. What other algebraic techniques can help with simplifying more complex expressions?

Tip: When expanding expressions, be sure to distribute terms carefully and combine like terms where possible!