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
Jet001 [13]
3 years ago
14

Factor the following expression, and verify that the factored expression is equivalent to the original: 4x^2-9a^6

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

(2x - 3a³) ,(2x + 3a³)

Step-by-step explanation:

Given that

4x^2-9a^6

As we know that

x² - y² = ( x+y)(x-y)

So

4x^2-9a^6  = (2x)² - (3a³)²

By using the above formula

x² - y² = ( x+y)(x-y)

4x^2-9a^6  = (2x)² - (3a³)²

4x^2-9a^6  = (2x - 3a³) (2x + 3a³)

So the factor is (2x - 3a³) ,(2x + 3a³)

To verify

Multiple both factors

(2x - 3a³) (2x + 3a³)  = 2x .2x -2x . 3a³ + 3a³ . 2x -  3a³. 3a³

                                =4x² - 9 a ⁶

You might be interested in
HELP PLEASE!!!!
mina [271]

Answer:


Step-by-step explanation:

1) Write 8x+14 as 2(4x+7) and now multiply by 1/2 so that we get 4x+7

2)Subtract 7 from both sides

4x+7=39

-7       -7

4x=32

3) Divide by 8

x=8

Thus we get x=8 as answer

So reasons are

i) Distributive property

ii) Subtraction property of equality

iii) Division property of equality

6 0
2 years ago
Read 2 more answers
Eve Marie used the table to describe a list of numbers. How should she fix the table?
Vsevolod [243]

Answer:

your answer would be g

Step-by-step explanation:

3 0
3 years ago
A relay race covers 1 1/2miles,and each other runner on a team will run 1/4 of a mile.
Julli [10]
(1 1/2 mi)*(runners/(mi/4))

(3mi/2)(4runners/mi)=6 runners
6 0
3 years ago
Please help me I don't really understand this...
ipn [44]

Let's remember some angle pair rules:

-> Co-Interior angles add up to 180º.

-> Alternating angles are equal.

-> Corresponding angles are equal.

-> Vertically opposite angles are equal.

-> Angles on a straight line add up to 180º.

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

Knowing that, and knowing Angle 6 = 102º, you can easily find any of the 7 angles.

I will skip angle 1 for now, you'll understand why.

Angle 2 and Angle 6 are Corresponding, so Angle 2 must be 102º.

Angle 3 is Vertically Opposite to Angle 2, so Angle 3 must be 102º.

Angle 4 is Co-Interior to Angle 6, so we calculate it this way:

A4=180-A6\\A4=180-102\\A4=78

Angle 4 must be 78º.

Angle 1 is Vertically Opposite to Angle 4, so it must be 78º.

Angle 5 is Alternating to Angle 4, so Angle 5 must be 78º.

Angle 7 and Angle 5 are On A Straight Line, so Angle 7 is calculated this way:

A7=180-A5\\A7=180-78\\A7=102

Angle 7 must be 102º.

Angle 8 is Vertically Opposite to Angle 5, so it must be 78º.

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

I wrote some parts in bold so you can refer to the rules I wrote above.

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

<u>In summary:</u>

Angles 1, 4, 5, and 8 = 78º

Angles 2, 3, 6 and 7 = 102º

3 0
3 years ago
What is the area of the following square?<br> 4p + 5
Whitepunk [10]

Answer:84/5

Step-by-step explanation:dd

4 0
2 years ago
Other questions:
  • Ella spends 2/3 hour practicing the piano each day. She also spends 1/2 hour jogging. What is the common denominator of the frac
    8·1 answer
  • An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?0 to radians to π radiansπ
    14·2 answers
  • Veri made $25 babysitting.if she makes $8 an hour,how many hours did she babysit?
    6·1 answer
  • Hat is he probability of pick 1 green marble from a bag with 7 green and 8 blue marbles
    15·1 answer
  • *Click the photo*
    6·2 answers
  • Fr fr though your friends don't want you to friend me cuz if you did i'd be ur cutest friend ;)
    10·2 answers
  • Which solution set is graphed on the number line?<br><br> O x21<br> O x&gt;1<br> 0x&lt;1<br> O x51
    6·1 answer
  • Name the figure below in two different ways. B. N<br><br>​
    10·1 answer
  • In 1986, the Chicago Bears beat the New England Patriots by 36 points in the Super Bowl. If a total of
    6·1 answer
  • Do anyone know the answer to this? Answers please?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!