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
Elenna [48]
3 years ago
11

Prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3

Mathematics
2 answers:
Radda [10]3 years ago
5 0

Step-by-step explanation:

A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2}  + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6}  + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2}  + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

shtirl [24]3 years ago
3 0

(125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}

125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer

One of factors of given expression  is 3 so given expression  is divisible by 3

                                            q.e.d.  

You might be interested in
Difference between mafic intermediate and felsic magmas
Inga [223]

Both are indicators of the chemical composition of silicate minerals, magmas and rocks.

Mafic is used for silicate minerals, magmas and rocks that are composed of heavier elements, like magnesium, iron, calcium and sodium. They are dark and have high specific gravities.

<span>Opposite to the this, felsic silicate minerals, magmas and rocks in their composition have less from these heavy elements. They are composed from silicon, oxygen, aluminium and potassium, are light in color and have lower specific gravities.</span>

8 0
3 years ago
Each side of a square calendar is 6 inches long. What is the calendar's area?
forsale [732]
The area would be 36 each side is 6 inches therefore you would multiply 6 by 6 to find the area
3 0
3 years ago
Read 2 more answers
Solve for b. -11b+7 = 40−11b+7=40
Oksana_A [137]

Answer:

This equation is false

Step-by-step explanation:

Well,

-11b + 7 = 4 - 11b + 7 = 40

combine like terms

-11b + 7 = -11b + 3 = 40

Communicative property

-3 to both sides

-11b + 4 = -11b = 40

-4 to both sides

-11b = -11b = 36

+11b to both sides

0 = 36

0 is not equal to 36 meaning that this equation is false.

<em>Thus,</em>

<em>the equation given is false.</em>

<em />

<em>Hope this helps :)</em>

6 0
3 years ago
I need to know what's 1131÷29 pronto
Ivahew [28]

the answer is 39 because you need to divide.

6 0
3 years ago
Read 2 more answers
8÷2 (2+2)=X <br> What is the value of x?
faltersainse [42]
8/2(2+2)=X
8/2(4)=X
4(4)=X
16=X

Your answer would be X=16
6 0
3 years ago
Read 2 more answers
Other questions:
  • As part of a​ sixth-grade class​ project, the teacher brings to class a large jar containing 200 gumballs of two different​ colo
    8·1 answer
  • Can someone help me, please?
    5·2 answers
  • In order of operations what comes first square root or epxonents
    7·1 answer
  • Which linear function represents the line given by the point-slope equation y +7=(x + 6)?
    9·1 answer
  • 2&gt;5+p solving step of inequalities
    6·1 answer
  • Kelly made 6 batches of cookies. Her friend asked her to make an extra batch . She used 17 1/4 cups of sugar and needs another 7
    6·1 answer
  • 3.
    13·2 answers
  • Two years ago the Delhi metro track's length was 200km long. The new track length increased by 20%.
    10·1 answer
  • How long will it take a rocket traveling at 8 km/s to reach 20 km?
    12·1 answer
  • Express the number 68,708 in word form and expanded form.<br><br> Word form ?<br> Expanded form ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!