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.

Question

18-07-2016
Mathematics

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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.

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meerkat18 meerkat18 · Answer 1 · 2016-07-20T04:24:35+02:00

We simplify the equations based on distributive property, addition and subtraction properties.

1. 2x4(4x2 + 3x + 1) = 8((4x2 + 3x + 1)) = 32 x2 +24x + 8
2. (4x – 3)(2x2 – 7x + 1) = 8x3 -28x2 +4x -6x2 +21x -3 = 8x3 -34 x2 +25 x -3
3. (x2 + 4x – 3)(2x2 + x + 6) = 2x4 + x3 + 6x2 + 8x3 + 4x2 +24 x -6x2 -3x +18 = 2x4 + 9x3 +4x2 + 21 x +18

The area of the triangle given sides (2x-4) and (x+5) is 2x2 + 6x -20.
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