It looks like you've uploaded an image containing mathematical problems. I'll analyze the image and extract the text for solving the problems. Let's begin:

Extracted Mathematical Problems

1. Multiply each of the following: $\text{(a)} \, (3p + 2q) \cdot (p + 4r)$ $\text{(b)} \, (3m - 5n) \cdot (3m + 5n)$

2. Find the product of the following: $\text{(a)} \, (2x - 3y)(7x^2 - 2xy + 5y^2)$ $\text{(b)} \, (4x + 5y - z)(2x - 3y + 2z)$

3. Simplify the following: $\text{(a)} \, 6a(2b + c) - 4a(a - b)$ $\text{(b)} \, (7x - 3y)(x + y) + 2xy$

4. Find the sum of: $\text{(a)} \, 3x(2x - 3y) - 2y(4x + 5y)$ $\text{(b)} \, 4x(5x + 2y) - 3y(3x - y)$

5. Subtract and simplify the result: $\text{(a)} \, 6x^2 + 7x - 3 \text{ from } 3x^2 + 2x + 4$ $\text{(b)} \, 9x^2 - 4x + 7 \text{ from } 5x^2 + 3x - 2$

Would you like to go through each problem step-by-step, or would you like assistance with specific ones?