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Semenov [28]
2 years ago
8

Factor (3c + 2)^2 - (3c - 2)^2

Mathematics
1 answer:
kodGreya [7K]2 years ago
6 0

Hi there! Your answe is 24c

Please see an explanation below for a clear understanding to your problem.

Any questions about my explanation and answer can be asked through comments! :)

Step-by-step explanation:

\large \boxed{ {x}^{2}  -  {y}^{2}  = (x + y)( x - y)}

The formula above is what we will be using. This is called "Difference of Two Squares".

Notice how the these expressions are similar to the formula's structure.

\large{ {(3c + 2)}^{2}  -  {(3c - 2)}^{2} }

Notice how there are minus sign, squared expression which we can factor by using the formula above. Therefore -

\large{ {x}^{2}  =  {(3c + 2)}^{2} } \\  \large{x = 3c + 2}

Therefore, our y would be 3c-2.

Then proceed with the formula.

\large{ {(3c + 2)}^{2}  -  {(3c  - 2)}^{2}  = (3c + 2 + 3c - 2)(3c + 2 - (3c - 2))}

Simplify.

\large{ (6c)(3c + 2 - 3c +  2)} \\ 6c(4) \\ 24c

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Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

4 0
3 years ago
Nancy and Karen went on a trip to the mountain. Nancy started her trip 30 minutes later than Karen. They started from the same p
Katyanochek1 [597]
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.

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since the distances are equal
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Step-by-step explanation:

7 0
3 years ago
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Answer:

9:30 am

Step-by-step explanation:

We can make a chart and keep filling it in until we see the same time in both columns.

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7:00             7:00

7:30             7:50

8:00            8:40

8:30           9:30

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We can also use the least common multiple of 30 and 50.

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3 0
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Answer:

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Forgive me for my lame explanation :')

8 0
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