Simplify the following:
(a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2)
A common factor of a^4 + 4 b^4 and a^2 - 2 a b + 2 b^2 is a^2 - 2 a b + 2 b^2, so (a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2) = ((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2):((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2)
((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2) = (a^2 - 2 a b + 2 b^2)/(a^2 - 2 a b + 2 b^2)×(a^2 + 2 a b + 2 b^2) = a^2 + 2 a b + 2 b^2:
Answer: a^2 + 2 a b + 2 b^2
Answer:
B
Step-by-step explanation:
x+4 is double of 16 so multiply 16 by 2 then subtract by 4 to get x which is 28
Answer:
The simple interest for 4 months = Rs 240
Step-by-step explanation:
formula:-
simple interest I = [PNR]/100
P - Principle amount
N - Number of years
R - Rate of interest
It is given that, $7,800 at 9.25% for 4 months
<u>To find the simple interest for 1 year</u>
I = [PNR]/100
I = [7800*1*9.25]/100 = 721.5
<u>To find the simple interest for 4 months</u>
4 months = (1 year )/3
4 months interest = 721.5/3 =240.5 ≈ 240
Therefore the simple interest for 4 months = Rs 240
Answer:
The total number of albums sold on the first day=34
Step-by-step explanation:
Derive expressions for the number of albums sold
each day;
Let;
the total number of albums sold on the first day=x
the total number of albums sold on the second day=y
but,
total number of albums sold on the second day is twice the total number of albums sold on the first day, therefor=, y=2×x= 2 x
The total number of albums sold for the two days can be expressed as;
Total sales=number sold on the first day+number sold on second day
where;
Total sales=102
number sold on the first day=x
number sold on second day= 2 x
replacing;
(x+2 x)=102
3 x=102
x=102/3
x=34
The total number of albums sold on the first day=34
Total = 500.00 * (1.04)^6
Total =
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632.6</span></span></span>6