To get the product of (3a + 2) and (4a² - 2a + 9), we can apply the rules of distribution over multiplication and have
3a(4a² - 2a + 9) + 2(4a² - 2a + 9)
12a³ - 6a² + 27a + 8a² - 4a + 18
Adding like terms of the same degree, we can simplify it into
12a³ + 2a² + 23a + 18
Therefore, the answer is D<span>.
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Answer:
Option (3)
Step-by-step explanation:
Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.
Since, 10 mm = 1 cm
Therefore, 1 mm = 0.1 cm
This rule states that Joe can measure a length or distance in nearest tenth of a cm only.
If length of a box = 13.67 cm,
So Joe can measure it as 13.7 cm approximately.
Therefore, Option (3) will be the answer.
Answer:
(2n + k) - 7
Step-by-step explanation:
1. Let ''a number'' be presented as n
2. ''twice a number'' → 2
n
3. ''twice a number and k'' → 2n + k
4. 7 less than twice a number → (2h + k) - 7
Google it!
Answer:
Step-by-step explanation:
4 and a half
When 
, we have
and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for 
, that
Now for 
, we have
so we know the left side is at least divisible by 
by our assumption.
It remains to show that
which is easily done with Fermat's little theorem. It says
where 
is prime and 
is any integer. Then for any positive integer 
,
Furthermore,
which goes all the way down to
So, we find that
QED
