Answer:
Simplify the denominator.
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x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
x
2
−
5
x
+
6
Factor
x
2
−
5
x
+
6
using the AC method.
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x
(
x
+
3
)
(
x
−
3
)
⋅
3
x
(
x
−
3
)
(
x
−
2
)
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
(
x
+
3
)
(
x
−
3
)
,
(
x
−
3
)
(
x
−
2
)
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number
1
is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of
1
,
1
is the result of multiplying all prime factors the greatest number of times they occur in either number.
1
The factor for
x
+
3
is
x
+
3
itself.
(
x
+
3
)
=
x
+
3
(
x
+
3
)
occurs
1
time.
The factor for
x
−
3
is
x
−
3
itself.
(
x
−
3
)
=
x
−
3
(
x
−
3
)
occurs
1
time.
The factor for
x
−
2
is
x
−
2
itself.
(
x
−
2
)
=
x
−
2
(
x
−
2
)
occurs
1
time.
The LCM of
x
+
3
,
x
−
3
,
x
−
3
,
x
−
2
is the result of multiplying all factors the greatest number of times they occur in either term.
(
x
+
3
)
(
x
−
3
)
(
x
−
2
)
Step-by-step explanation:
there does that help
The answer is C because 100 doesn’t change but 12 is dependent on the number of people.
Answer:
35
Step-by-step explanation:
if 1 man is 37
and 1 man is 43
the 3rd man is 45
they add to 115
to average 40, we gotta add 35
this old mans giving u that!
Answer:
x=9 is the answer
Step-by-step explanation:
you do 2^2 then 2-2 you add those two answer together than subtract from 15
Answer:
B. 10n-207
Step-by-step explanation:
Given,
The average number of points of 9 games = 23,
∵ Sum of observations = their average × number of observations
So, the total points for 9 games = 9 × 23 = 207,
Now, if the average of 10 games is n,
Then the total points for 10 games = 10n,
Hence, the number of points earned in 10th game = the total points for 10 games - the total points for 9 games
= 10n - 207
i.e. OPTION B is correct.