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
Roman55 [17]
3 years ago
8

What is the factorization of 729x^15 + 1000?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9

1000 is the cube of 10

x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into 

(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)

729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000

729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000

729x¹⁵ + 1000

Step-by-step explanation:

You might be interested in
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −3/4?
djverab [1.8K]
Lime m is neither because it does not have the opposite reciprocal nor same slope.
Line n is perpendicular because it has the opposite reciprocal. 
Line p is neither because it does not have the opposite reciprocal nor same slope.
Line q is parallel because it has the same slope.
7 0
3 years ago
1/4 a = 4/15<br><br> I’ll add extra points show ur sork
alexandr402 [8]

Answer:16/15

Step-by-step explanation:

5 0
2 years ago
When an airplane leaves the runway, its angle of climb is 18 degrees and its speed is 275 feet per second. Find the plane's alti
Elodia [21]
Distance after 1 minute = speed * time = 275 * 60 = 16,500 feet
Let the altitude of the plane be y, then
sin 18 = y/16500
y = 16500 sin 18 = 5,098.78 feet
8 0
3 years ago
What is the coefficient of 4(3)(2)Q​
inysia [295]

Answer:

24

Step-by-step explanation:

4 x 3 = 12

12 x 2= 24

Coefficient is the number infront of the varible being multiplied. In this case 24 is the coefficient, and Q is the variable.

7 0
3 years ago
A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
EastWind [94]

Answer:

A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.

Step-by-step explanation:

im built different

7 0
3 years ago
Other questions:
  • A,B,C,D what’s the correct answer
    7·2 answers
  • Check my answer please?! <br><br> All i did was divide 14.4 by 1/2<br> Am i correct?
    12·1 answer
  • A triangle has an area of 30 square centimeters.
    5·1 answer
  • Find the cost in cents of 1.7kg of potatoes at 70 #per kg
    15·1 answer
  • A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the fi
    15·1 answer
  • Using a straightedge draw a random triangle now carefully cut it out next amputate the angles by snipping through adjacents side
    8·1 answer
  • 3[-X + (2 x + 1)] = x - 1<br> X=?
    10·2 answers
  • Help please it’s due soon <br><br> ( DISTANCE IS A MISTAKE )
    11·1 answer
  • I think its A or b but i dont know help!!!!!!!
    6·1 answer
  • Find the formula for the n^th term of the sequence whose first few terms are -3,0,5,12,21,32,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!