Answer:
1.

2.

3.

Step-by-step explanation:
1. The given polynomial is

We need to factor the second part to get:

We factor y-5 to obtain:

2. We have

We again factor -1 from the second part to get:

We now factor x-y to get:


3. We have

We factor negative 1 from the first part to get

We now factor b-3 to get:

We now simplify to get:

Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
Answer:
53 cm.
Step-by-step explanation:
Circumference = pi times diameter
We are trying to find diameter so rearrange
Circumference/pi = diameter
166.5/pi = 52.998596
Approximately 53 centimeters of lace
Which two numbers add up to <span>88</span><span> and multiply to </span><span>−20?
</span><span>−2</span><span> and </span><span>10
</span>
Rewrite the expression using the above:
Answer:
(a−2)(a+10)<span>
</span>