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
vfiekz [6]
3 years ago
12

Factories (a+b)^3+8c^3​

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

You might be interested in
The baby nursery has 2 nurses for every 10 babies. What is the nurse to baby ratio?
Artist 52 [7]

Answer

1:5

no of nurses: no of babies

2:10

step by step explanation :

divide both sides by the smallest i.e 2

you get

1:5

8 0
3 years ago
Which statements are always true regarding the diagram? Check all that apply. m∠3 + m∠4 = 180° m∠2 + m∠4 + m∠6 = 180° m∠2 + m∠4
Nostrana [21]

Answer:

The true statements are:

m∠ 3 + m∠ 4 = 180° ⇒ 1st

m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ 2nd

m∠ 2 + m∠ 4 = m∠ 5 ⇒ 3rd

Step-by-step explanation:

* Look to the attached diagram to answer the question

# m∠ 3 + m∠ 4 = 180°

∵ ∠ 3 and ∠ 4 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠ 3 + m∠ 4 = 180° ⇒ <em>true</em>

# m∠ 2 + m∠ 4 + m∠ 6 = 180°

∵ ∠ 2 , ∠ 4 , ∠ 6 are the interior angles of the triangle

∵ The sum of the measures of interior angles of any Δ is 180°

∴ m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ <em>true</em>

# m∠ 2 + m∠ 4 = m∠ 5

∵ In any Δ, the measure of the exterior angle at one vertex of the

  triangle equals the sum of the measures of the opposite interior

  angles of this vertex

∵ ∠ 5 is the exterior angle of the vertex of ∠ 6

∵ ∠2 and ∠ 4 are the opposite interior angles to ∠ 6

∴ m∠ 2 + m∠ 4 = m∠ 5 ⇒ <em>true </em>

# m∠1 + m∠2 = 90°

∵ ∠ 1 and ∠ 2 formed a straight angle

∵ The measure of the straight angle is 180°

∴ m∠1 + m∠2 = 90° ⇒ <em>Not true</em>

# m∠4 + m∠6 = m∠2

∵ ∠ 4 , ∠ 6 , ∠ 2 are the interior angles of a triangle

∵ There is no given about their measures

∴ We can not says that the sum of the measures of ∠ 4 and ∠ 6 is

  equal to the measure of ∠ 2

∴ m∠4 + m∠6 = m∠2 ⇒ <em>Not true</em>

<em></em>

# m∠2 + m∠6 = m∠5

∵ ∠ 5 is the exterior angle at the vertex of ∠ 6

∴ m∠ 2 + m∠ 6 = m∠ 5 ⇒ <em>Not true</em>

6 0
3 years ago
Read 2 more answers
Is 6 less than 6.00?
Nadya [2.5K]
No, they are the same value.
3 0
3 years ago
PLS HELP !!! I NEED HELP PLS ILL APPRECIATE IT SM!
bazaltina [42]

Answer:

\frac{3}{4}

Step-by-step explanation:

ok so first you want to find a common factor. For instance, 3. So divide the numerator and denominator by 3. This will give you the fraction of \frac{3}{4}.

5 0
2 years ago
Read 2 more answers
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 p
Romashka-Z-Leto [24]

Answer: 6.25%

Step-by-step explanation:

50 chicks were purchased at Rs. 60. The total cost of the chicks is:

= 50 * 60

= Rs. 3,000

10 of the chicks died which means the farmer was left with 40 chicks.

These chicks are sold at Rs. 80. Total revenue from the sales are:

= 40 chicks * 80

= Rs. 3,200

The profit is:

= 3,200 - 3,000

= Rs. 200

The percentage is:

= Profit / Revenue

= 200 / 3,200

= 6.25%

3 0
3 years ago
Other questions:
  • What is the domain of the square root function graphed below?
    5·1 answer
  • If x is an even integer and y is an odd integer than x + y is a rational number. A) Always True B) Sometimes True C) Usually Tru
    5·1 answer
  • Use the Distributive Property to find the product mentally. Show the steps you used<br> 5 x 47
    9·1 answer
  • How do I express y in terms of x?
    7·1 answer
  • Which of these is the answer please.
    11·2 answers
  • An angel measures 51 degrees. Through what fraction of a circle does the angel turn?
    15·1 answer
  • Which statement is true about the circumference of a circle?
    7·2 answers
  • Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por
    15·1 answer
  • F is inversely proportional to d 2 . When F = 3 , d = 4 Work out F when d = 2
    13·1 answer
  • Two spinners are equally divided into red, blue, yellow, and green. Marcus and Jenny each spin one spinner at the same time. Wha
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!