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diamong [38]
3 years ago
6

Give the digits in the tens place and the tenths place. 12.05

Mathematics
1 answer:
Alina [70]3 years ago
3 0
The digit in the tens place is 1.

The digit in the tenths place is 0.
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(a^6-1)
maksim [4K]

Hello from MrBillDoesMath!

Answer:   a^6 -1  =  (a-1) ( a^2 + a + 1) (a^3 + 1)

Discussion:

Let's factor  a^6 - 1.  First, the difference of two squares, such as " b^2 - c^2 factors like this ( b + c) * (b-c).  Your expression is the difference of two squares (where the term being squared is a^3)

a^6 - 1  = ( a^3 -1) (a^3 + 1)               (Multiply it out!)


But a= 1 is a factor  of a^3 - 1 as   1^3 -1 - 0. So we can further factor a^3 - 1.  Dividing a^3 -1 by a- 1 gives  a^2 + a + 1.

a^3 = (a-1 ) ( a^2 + a + 1).

You may want to multiply the expressions to verify my statements. I did the division but it's not easy to show them on Brainly.


Conclusion:

a^6 -1  =  (a^3 + 1) (a^3 -1 )  =

               (a^3 + 1) (  (a-1)  (a^2 + a + 1 )   )



Thank you,

MrB

8 0
4 years ago
42 + q/10 = 44.5<br><br> What does q equal, show your work
Galina-37 [17]
44-42= 2

q/10=2.5
multiply both sides by 10
q=25
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swat32
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