Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
2503 is the answer, you can use a calculator to find this by simply plugging it in or use the long division method
The domain is the origin of the arrow
domain = {-2,2,3,4}
Option d is the answer
Answer:
64 books
Step-by-step explanation:
The first step is to find the number of books that will fit in the shelve per foot
= 40/5
= 8
Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows
= 8×8
= 64
Hence 64 books would fit in 8-foot shelf
