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STALIN [3.7K]
3 years ago
15

(a^4+4b^4)divided by (a^2-2ab+2b^2)

Mathematics
1 answer:
KIM [24]3 years ago
6 0
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
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Gwar [14]

Step-by-step explanation:

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5 0
3 years ago
This is what I got,
USPshnik [31]
1/x + 1/y = 8
x + y = 8
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4 0
3 years ago
PLEASE HELP!!!!!! I need help on this problem
Thepotemich [5.8K]

Answer:

185 minutes.

Step-by-step explanation:

It is possible to model an equation for this, such that

0.10x + 14.80 = 0.08x + 18.50

where x represents the number of minutes.

Then, you solve for x:

0.10x + 14.80 = 0.08x + 18.50 \\ 0.02x = 3.70 \\ x =  \frac{3.70}{ 0.02}  \\ x = 185

5 0
3 years ago
Find the percent of increase or decrease? 2.5y to 1.5y
horsena [70]

Answer:

From 2.5 y to 1.5 y there is a 40 % DECREASE in the value.

Step-by-step explanation:

Here, the initial value = 2.5 y

The final value of 1.5 y

Now,as Final Value  < Initial Value

So, there is a DECREASE IN THE VALUE.

Now, decrease in the value  = Initial value  - Final Value  

                                                =  2.5 y = 1.5 y  = 1 y

or, there is a decrease of ( 1 y) in the given value.

Now, Percentage decrease in the value is given as:

\textrm{Percentage Decrease} = \frac{\textrm{The decrease in the value}}{\textrm{The initial Value}} \times 100\\ = \frac{1 y}{2.5 y}  \times 100 = 40

or, Percentage Decrease = 40%

Hence, from 2.5y to 1.5y there is a 40 % DECREASE in the value.

4 0
3 years ago
Help is much needed!!!
icang [17]
Y - y1 = m (x + x1)

Solve for m by subtracting the y's and dividing them by the difference of the 2 x's.

-32 - 1 = -33
-8 - 3 = -11

Divide the two to get 3.

Use the first point (as instructed) and plug it into the equation.

y - (-32) = 3 (x - (-8))

y + [32] = [3] (x + [5])

The brackets are the fill in the blanks.
5 0
3 years ago
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