Problem-creating a rectangular garden

Question

Assignment:

Q1. Find the following product: 5x²y(-4x⁵y⁴) 

• 5x²y - 4x⁵y⁴
• -20x¹⁰y⁴
• X⁷ y⁵
• -20x⁷y⁵
  

Q2. Short Answer. Find the following product: 6z (6z³-9z²+4)

Q3. Find the following product:  (x - 8)(x + 8)

• x² +64
• x² - 16x -64
• x² + 16x -64
• x² - 64

Q4. Short Answer. Find the following product: (X+9)

Q5. Essay:  Show all work:  Find the following:  (Y-5)²

Q6. Short Answer. Find the following product(Y² +4Y-7)(Y+3)

Q7. Short Answer. The length of the side of a rectangular desk is given by 5x - 8y cm. The length of the front is given by 5x + 8y cm.
What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.

Q8.  Essay:  Show all work. A gardener wants to create a rectangular garden with length of  2x - 3y ft. and width of  x + 4y ft.
What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units.

Q9.  Short Answer. Find the following quotient:
x² - 100 / x  + 10

Q10. Essay:  Show all work. Find the following quotient:

36x² - 49Y² / 6x + 7Y

Provide complete and step by step solution for the question and show calculations and use formulas.