Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

1. 2x4(4x2 + 3x + 1)
2. (4x – 3)(2x2 – 7x + 1)
3. (x2 + 4x – 3)(2x2 + x + 6)
4. Write a simplified polynomial expression to represent the area of the rectangle below.

Picture of rectangular with one side labeled as 2 times x minus 4 and another side labeled as x plus 5
5. Write a simplified polynomial expression to represent the area of the square tile, shown below.

A square shaped tile with length x minus three is shown.
Pictures in respo