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
Semenov [28]
3 years ago
8

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

Mathematics
1 answer:
kodGreya [7K]3 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

You might be interested in
How many times does seven go into three hundred ninety four
Nookie1986 [14]

Answer: 56 times.

Step-by-step explanation:

394/7 = 56.3

56 * 7 = 392

392 + 7 = 399

399 is more than 394, therefore the answer is 56.

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Lilit [14]

Answer:

hi how are you doing?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Does anyone know the minim value of the function f(x) =2x^2 -4x -6?. I’m online due to my quarantine and am looking for extra he
navik [9.2K]

Answer:

f(x) = - 8

Explanation:

The given function is

f(x) =2x^2 -4x -6

The first step is to find the derivative of the function. Recall, if

y = ax^b

y' = abx^(b - 1)

Thus,

f'(x) = 4x - 4

We would equate f'(x) to zero and solve for x. We have

4x - 4 = 0

4x = 4

x = 4/4

x = 1

We would substitute x = 1 into the original function and solve for f(x) or y. It becomes

f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6

f(1) = - 8

Thus, the minimum value is f(x) = - 8

4 0
1 year ago
Tommy has 5 jars of marbles. Each jar is 2/3 filled with marbles. If Tommy decided to combine the marbles completely fill the ja
antoniya [11.8K]

Answer:

3

Step-by-step explanation:

to find this answer we will then have to do 5 x 2/3

since we our multiplying by a fraction we will then have to change the fraction to a decimal.

2/3 = 0.6

this will then give us the equation of 5 x 0.6

this will give us the sum of 3 jars that had were able to be filled woth marbles.

6 0
3 years ago
PLZZZ HELP ME OUT THIS DUE RIGHT NOW AND I FREAKING OUT PLEASE HELP ME P.S YOU HAVE WRITE ANSWERS FOR ALL OF THEM
Nimfa-mama [501]

<em>Answer:</em>

<em>a is greater than 1, so a−1 is positive.</em>

<em />

<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>

<em />

<em>b is negative, so −b is positive.</em>

<em />

<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>

<em />

<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>

<em />

<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is equivalent to (n-3)(n-5) a. n2-8n+15, b. n2+8n-15, c. n2-15n+8
    5·1 answer
  • Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score wa
    11·2 answers
  • Micah is buying items for a birthday party. If he wants to have the same amount of each item, what is the least number of packag
    5·1 answer
  • a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina
    7·1 answer
  • Plot 3/8 number line
    9·1 answer
  • A cylinder has a circular base with a diameter of 12 ft the height of the cylinder is 4 feet what is the volume of the cylinder
    5·1 answer
  • Help please im lost and not good in math
    6·2 answers
  • Can someone pls help fast
    14·2 answers
  • HELP!!
    10·1 answer
  • Solve 1/3(3.2×1.4)2.8<br><br>Simplify your answer​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!