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
zysi [14]
3 years ago
11

Factor 81z^4 - 16 Please answer asap

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

You might be interested in
The coordinates of ADEF are D(-1, 4), E (7,-3), and F (9,5). Write a rule for the translation of ADEF to ADEF. so that the centr
mr Goodwill [35]

Answer:

Step-by-step explanation:

i think the answer is x but ignore this

8 0
2 years ago
Please help with this.
Dmitrij [34]

Answer:b

Step-by-step explanation:u have to add dthe diameter to the form number

3 0
2 years ago
Find the slope of the line above
Varvara68 [4.7K]
Someone is answering good luck
4 0
3 years ago
Read 2 more answers
PLSSSS HELP QUICK plssssss
Nikitich [7]

Answer:

Answer C: 8

Step-by-step explanation:

6 0
3 years ago
What percent of 50 is 5
lara [203]

Answer:

10%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit
    15·2 answers
  • -10+5=7x-4<br>how to i explain this step by step​
    12·2 answers
  • The percent of a discount is 75% and the sale price is $55.50 what is the original price?
    8·1 answer
  • What is an operation
    5·2 answers
  • If 30 marks is 40% what is full marks
    10·2 answers
  • Answer and show work #38
    14·1 answer
  • Given a line segment that contains the points A,B, &amp; C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.
    9·1 answer
  • Expressions are equivalent to -7+3(-4e-3)−7+3(−4e−3)
    10·1 answer
  • I don’t know how to divide the fraction
    11·2 answers
  • Jerome bought a pair of shoes for $58.13 including tax. The shoes had a sticker price of $54.20. What percent sales tax did he p
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!