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

1 answer:

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

You might be interested in

helpp Points (0, −3) and (7, 11) lie on the same line in the standard xy-coordinate plane. What is the slope of this line? A. -3

Kamila [148]

Answer: D

Step-by-step explanation: m is slope. m = (11+3)/(7-0). m = 14/7 or 2. It is D

6 0

2 years ago

Solve the system of equations. 3x+5y=9 3x+2y=3

KIM [24]

3x+5y=9 3x+5y=9
-1(3x+2y=3) -3x-2y=-3
3y=6
y=2
3x+5(2)=9
3x+10=9
-10 -10
3x=-1
x=-1/3 (-1/3,2)

5 0

3 years ago

Your teacher is choosing 2 students to run an errand for her. There are 12 girls and 10 boys in the class. What is the probabili

Ne4ueva [31]

Answer:

2/7

Step-by-step explanation:

There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.

Now, we must calculate the chance of the next student to be picked also being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.

To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.

4 0

2 years ago

Read 2 more answers

. Office productivity is relatively low when the employees feel no stress about their work or job security. However, high levels

Ray Of Light [21]

Answer:

Step-by-step explanation:

The plot chart below best represents the relationship between stress and productivity in the workplace. As seen in the chart both high and low levels of stress equate to very low productivity levels for employees in the workplace. While just enough stress creates very productive employees. This tends to be because employees are worried about the possibility of losing their jobs so they work hard in order to keep the job but are not so worried that they think it will happen tomorrow and become burned out.

3 0

3 years ago

How do you do this need help

irakobra [83]

LGN I believe. If you look at how the ret part of the match corresponds with the next match, you can correspond the letters based on the other triangles.

7 0

3 years ago