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
cluponka [151]
2 years ago
9

What is 64x^6 + 27 written as a sum of cubes?

Mathematics
1 answer:
Talja [164]2 years ago
7 0

Answer:

(4x² + 3)(16x^{4} - 12x² + 9)

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

64x^{6} = (4x²)³ ⇒ a = 4x²

27 = 3³ ⇒ b = 3

Hence

64x^{6} + 27

(4x² + 3)((4x²)² - (4x² × 3) + 3²)

= (4x² + 3)(16x^{4} - 12x² + 9)

You might be interested in
Which equation can be represented using the number line?
kvasek [131]

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

8 0
2 years ago
A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to gre
Burka [1]

Answer:

2, √72, 8.7, √83, 9.25

Step-by-step explanation:

First, you need to find the integers of each number that is not already a integer.

Square root of 72: 8.48528137424

9.25

Square root of 83: 9.11043357914

2

8.7

Now, list the numbers by their whole number (in the ones place). If they have the same whole number, look at their tenths place and see which one is greater.

Overall, the answer would be 2, √72, 8.7, √83, 9.25.

5 0
3 years ago
The discriminant of the quadratic equation 2x2 - 4x + 3 = 0 is
inna [77]

Answer:

(A) -8

Step-by-step explanation:

∆=b^2 -4ac= (-4)^2-4(2)(3)= -8

Since discriminant<0, then the equation has no roots.

6 0
2 years ago
Read 2 more answers
How do you find the Radius of a cylinder?
oksano4ka [1.4K]
If you know the volume and the height of a cylinder, you can find its radius by using the formula for the volume of a cylinder.<span>Know the Formula for the Volume of a Cylinder. ...Solve for the Radius (r) ...<span>Plug in the Values for Height (h) and Volume (V) and Calculate.</span></span>
3 0
3 years ago
Whts the distributive property of 9 times 76
Anika [276]

Answer:

9

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • 2x^5+12x^4+16x^3-12x^2-18x=0
    13·1 answer
  • Solve for x and then type the answer. Just type the number. If there are 2 answers, then type both numbers, separated by a comma
    14·1 answer
  • Find integration of (secx-1)^1/2
    5·1 answer
  • A bookstore with 18 copies of a book sold 5/6 of the books
    14·1 answer
  • 7 is 70% of what number
    13·2 answers
  • Tyrone has a piece of yarn that is 3 feet long.He measures it again to find the number of inches.Will the number of feet or the
    13·2 answers
  • May decorated 7/10 of her cupcakes with chocolate frosting, and the rest with vanilla frosting, what percent of her cupcakes wer
    14·1 answer
  • Please answer with explanation
    14·1 answer
  • Find the value or x. <br> -<br> a. 5 <br> b. 11<br> c. 25<br> d. 31
    7·1 answer
  • Pls help me pass calculus :’)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!