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
jonny [76]
3 years ago
12

Use the sum of cubes identity to write this polynomial expression in factored form: 8x3 + 27.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0
The answer is 1989 because that’s how much I know
zvonat [6]3 years ago
3 0

Answer:

{8x}^{3}  + 27 \\   =  {8x}^{3}  +  {3}^{3}  \\ let : 8x \: be \: a \\  : 3 \: be \: b \\  =  >  {a}^{3}  +  {b}^{3}  :  \\  {(a + b)}^{3}  = (a + b)( {a}^{2}  + 2ab +  {b}^{2} ) \\  {(a + b)}^{3}  = ( {a}^{3}  + 3{a}^{2} b + 3a {b}^{2}  +  {b}^{3} ) \\ ( {a}^{3}  +  {b}^{3} ) =  {(a + b)}^{3}  - 3ab(a + b) \\  \therefore( {8x}^{3}  + 27) =  {(8x + 3)}^{3}  - 72(8x + 3)

You might be interested in
jack bought 3 slices of cheese pizza and 4 slices of nushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese
Llana [10]
The cost of one slice of mushroom pizza is $2.00 dollars. This is solved by subtracting the equations:  
X = cheese pizza 
Y = mushroom pizza  
(3X + 4Y = 12.50) 
- (3X + 2Y = 8.50)
 ______________ 
2Y = 4.00 
Y=2 or a slice of mushroom pizza is $2.00.
4 0
3 years ago
What is the reference angle for 7 pi/6?
Mademuasel [1]

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

3 0
2 years ago
Two consecutive numbers have a sum of 346. What are the numbers?
seraphim [82]

Answer:

81,82,83

Step-by-step explanation:

What three consecutive integers have a sum of 246? Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.

7 0
3 years ago
Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $ 0.90. What percent discount did she give on h
salantis [7]
I think the answer is 67% bro
7 0
3 years ago
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
Other questions:
  • Find the maximum value of c=4x+2y<br>2x+2y less than or equal to 10<br>3x+y less than or equal to 9
    13·1 answer
  • Complete the problems below.
    11·1 answer
  • A garden snail moves 1/6 foot in 1/3 hours. what is the unit rate?
    13·2 answers
  • The lines on a 2 cup liquid measuring cup divide each cup into eighths. If you measure 1 cups of water, between
    15·2 answers
  • Determine the measure of each angle. Then describe each angle as acute, right, obtuse, or straight.
    6·1 answer
  • Cubes and cubes roots <br>27000​
    6·1 answer
  • What does paragraph 26 reveal about Rachel's character?
    11·1 answer
  • I need help, please help as soon as possible
    12·2 answers
  • Help me please it's equations and inequalities
    8·1 answer
  • I will give lots of points please help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!