1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fgiga [73]
2 years ago
11

Factorize that x^4+4y^4​

Mathematics
1 answer:
ipn [44]2 years ago
4 0

Answer:

  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

<h3>Given binomial:</h3>

x⁴ + 4y⁴

In order to factorize it, follow the steps:

<h3>Complete the square:</h3>

  • x⁴ + 4y⁴ =
  • (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
  • (x² + 2y²)² - (2xy)² =
  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

  • (a + b)² = a² + 2ab + b²
  • a² - b² = (a + b)(a - b)
You might be interested in
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standar
Margarita [4]

Answer:

  1. 0.26
  2. 0.91
  3. 1.43

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( \frac{x-\mu }{\sigma}  > \frac{2.3-\mu }{\sigma} )

P (z  > \frac{2.3-1.9 }{0.3}  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( \frac{x-\mu }{\sigma } <  \frac{a-\mu }{\sigma } )

\frac{a-1.9 }{0.3 } = -1.55

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

3 0
3 years ago
What is the 9th term of -5,10,-20
slega [8]
The answer is -1280
hope this helps
7 0
3 years ago
Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it wo
valentina_108 [34]
The number of windows is the missing value. <span />
4 0
3 years ago
Read 2 more answers
porfavor ayudenme dare corona a quien responda bien con procedimiento una sustancia tiene un volumen de 20 ml y una densidad de
valentina_108 [34]

Answer:

si

Step-by-step explanation:

6 0
3 years ago
three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) =
Viefleur [7K]
A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x?
    15·1 answer
  • The simplified form of an expression is 1/258 t^28. Which expression was simplified
    7·2 answers
  • What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)? (5 points)
    15·1 answer
  • An office building has two elevators. One elevator starts out on the 4th floor, 35 feet above the ground, as it's defending at a
    12·1 answer
  • A cellular phone network uses towers to
    5·1 answer
  • Drag and drop the constant of proportionality into the box to match the table.
    12·1 answer
  • Does anyone know the answer to this ?
    10·2 answers
  • How many times greater is the value of a 3 in the one thousands place than in the hundreds place?
    11·1 answer
  • y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a
    10·1 answer
  • Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!