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
Paul [167]
2 years ago
5

Prove that the value of the expression (16^3–8^3)(4^3 +2^3) is divisible by 63.

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer:

Step-by-step explanation:

16^3 - 8^3

Take out 8^3 as a common factor.

16^3 = 2^3 * 8^3

8^3(2^3 - 1)  

8^3(8 - 1) = 8^3 * 7

(4^3 + 2^3)     Expand

64 + 8            Combine

72

72 = 9 * 8

Conclusion

(8*3 * 7 )(9*8)

7*9 = 63

So any number containing 63 will divide into the reduced form of

(16^3–8^3)(4^3 +2^3)

You might be interested in
Get correct for brainleist!
Elan Coil [88]

Answer:

the tird one

Step-by-step explanation:

the asking you like for the number who repeat I hope it help if need more explanation tell me

4 0
3 years ago
Janet has 120 dollars,. if she saves 20 dollars per week, in how many days will she have 500?
GrogVix [38]
After 28 days she will have 200. every 28 days she saves 80 dollars and after 112 she will have saved 320. She will then be at 460 and need 40 more dollars which is 14 days, and 112 plus 14 is 126 days. Hope that helped
4 0
3 years ago
(5⅐)⁴=( ) OPTIONS : A.) (5⁴)⅐ B.)5²⁸ C.)(5)¹/²⁸ D.)(5)⁷/⁴​
NemiM [27]

Answer:

a

Step-by-step explanation:

4*1/7

5 0
3 years ago
Find the reference angle of 100 degrees
Roman55 [17]

Since the angle  

100 °  is in the second quadrant, the reference angle formula is  A r = 180 ° −

A c.   A r = 180 ° − 100 °

The reference angle is  A r = 80 ° .

80 °

4 0
3 years ago
Given the triangle below what is<br> rounded to the nearest tenth?
Katyanochek1 [597]

Answer:

48.6

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which is greater, 0.6 or 0.60?
    10·2 answers
  • Solve the systems of equation by substitution method.<br><br>2x+y=1<br>3x-y=4​
    13·1 answer
  • Solve x^4-10x^2+9=0 <br> please and thank you
    13·1 answer
  • Ok, last one I promise.
    10·1 answer
  • Help with 9??????????
    7·1 answer
  • The maximum weight allowed per car on The Wildcat carnival ride is 221 pounds. Your friend weighs 60 pounds. To be able to ride
    8·2 answers
  • 7-5.419 help me quickly​
    7·1 answer
  • 1. Which of the following is a quadratic function?
    11·1 answer
  • Equations is the inverse of y = x^2-5?
    13·1 answer
  • The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!