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
4vir4ik [10]
3 years ago
13

Which expression is equivalent to (x4) -5

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

 (x2 + y2) • (x + y) • (x - y)

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1      Factoring:  x4-y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (x2 + y2)  •  (x2 - y2)  

Trying to factor as a Difference of Squares :

1.2      Factoring:  x2 - y2  

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (x + y)  •  (x - y)  

Final result :

 (x2 + y2) • (x + y) • (x - y)

 

You might be interested in
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and
ipn [44]

Answer:

The equations [(-5) + (-3)] + 6 = -2 and [6 + (-5)] + (-3) = -2  he can use to find the sum of the temperatures for those months ⇒ 3rd , 5th

Step-by-step explanation:

i took the assignment

7 0
3 years ago
What is the answer please help no links no links please help
schepotkina [342]
180cm. The square is 6 x 6 = 36 and the triangles = 12 x 6 = 72 and then divide it by 2 = 36 multiply that by 5 and you get 180cm
7 0
3 years ago
Read 2 more answers
Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 sli
Nady [450]

Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- When we have a quantity we can divided it to many equivalent

 fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

 terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

 circle, if we multiply each term of the fraction by 2 (up and down)

 then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

 1/2 = 2/4 = 3/6 = ..................

* <em>Lets solve the problem</em>

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- <em>Lets simplify the two fraction</em>

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

   equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

5 0
3 years ago
Write an equation for the line on the graph below<br><br> I need help on both of them
LiRa [457]

Answer:

1st one, x=-1

2nd on, y=2

Step-by-step explanation:

4 0
3 years ago
2. Construct Arguments An ostrich runs 6 miles
Alekssandra [29.7K]

Answer:

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the  ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

6 0
3 years ago
Other questions:
  • Ben has 9 packs of balloons. He has 54 balloons in all. How many balloons are in
    7·1 answer
  • 5(n+3)+4n<br> Simply the expression
    7·2 answers
  • Why are they not equal? Please explain!!
    8·2 answers
  • A rectangular countertop has a perimeter of 26 feet. its area is 30 square feet. what are the dimensions of the counter?
    5·1 answer
  • Calculate the volume and area of ​​a rectangular prism that measures 5cm x 9cm and 11cm high at the base
    11·1 answer
  • I need help I have no clue what to do !
    15·1 answer
  • Evaluate the following.<br> |−9|−|6-11|<br> can u guy's explain how to do it
    8·1 answer
  • Which is faster, 20 miles in 1/2 hour or 30 miles in 3/4 hour?
    8·2 answers
  • Please help !!!!!!!!
    14·2 answers
  • Solve the formula for the indicated variable: C<br><br> R= C-S/t
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!