Answer:
1) The polynomial
represents a sum of cubes
2) The polynomial
represents a difference of squares
Step-by-step explanation:
1) To find the polynomials represents a sum of cubes :
represents a sum of cubes
For
![=2^3x^3+1^3](https://tex.z-dn.net/?f=%3D2%5E3x%5E3%2B1%5E3)
![=(2x)^3+1^3](https://tex.z-dn.net/?f=%3D%282x%29%5E3%2B1%5E3)
Therefore
Therefore
represents a sum of cubes
2)To find the polynomials represents a difference of squares :
represents a difference of squares
For ![49x^2-25](https://tex.z-dn.net/?f=49x%5E2-25)
![=7^2x^2-5^2](https://tex.z-dn.net/?f=%3D7%5E2x%5E2-5%5E2)
![=(7x)^2-5^2](https://tex.z-dn.net/?f=%3D%287x%29%5E2-5%5E2)
Therefore ![49x^2-25=(7x)^2-5^2](https://tex.z-dn.net/?f=49x%5E2-25%3D%287x%29%5E2-5%5E2)
Therefore
represents a difference of squares
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
The answer is: [D]: 2x + 22 .
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