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
kompoz [17]
2 years ago
5

Perform the indicated operation:

Mathematics
1 answer:
yaroslaw [1]2 years ago
7 0

The expression \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} } is equal to \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3}.

<h3>How to simplify a composite algebraic expression</h3>

In this question we must use properties of <em>real</em> algebra to simplify a given expression as most as possible. We proceed to show each step with respective reason.

  1. \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} }  Given
  2. \frac{m\cdot n \cdot (m^{2}-16\cdot n^{2})}{3\cdot m + 12\cdot n}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{c\cdot b}
  3. \frac{m\cdot n \cdot (m-4\cdot n)\cdot (m+4\cdot n)}{3\cdot (m+4\cdot n)} Distributive property/a^{2}-b^{2} = (a +b)\cdot (a-b)
  4. \frac{m\cdot n \cdot (m-4\cdot n)}{3} Existence of the multiplicative inverse/Modulative property
  5. \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3} Distributive property/x^a\cdot x^{b} = x^{a+b}/Result

To learn more on algebraic expressions, we kindly invite to check this verified question: brainly.com/question/953809

You might be interested in
It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm
VMariaS [17]

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or <em>28 minutes</em>

<em>Proved: 28 minutes</em>

6 0
3 years ago
SEARCH UP:CNN 10 April 9th,2021<br><br> Watch the video then give me 10 facts
DIA [1.3K]

Answer:

Ketchup

Step-by-step explanation:

3 0
2 years ago
Factor out the greatest common<br> factor: -16x? + 12x?
svlad2 [7]

Answer:

4x is the greatest common factor of those two.

Step-by-step explanation:

(-16x + 12x)

4x (-4 + 3)

4x is the GCF

Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.

Hopes this helps!!!

7 0
3 years ago
Perform the operation <br> (10x² – x + 1) – (9x – 2)<br> Help ASAP please
seropon [69]

Answer:

10x^2-10x+3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

6 0
3 years ago
5th GRADE MATH! Select the statement that correctly compares two numbers. A. 6,092 &gt; 6,092.001 B. 6,197.02 &gt; 6,197.2 .C 6,
Lilit [14]

Answer:

D is correct

Step-by-step explanation:

A is incorrect because the lesser than is .001 higher

B is wrong since is .18 higher

C is wrong because its not equalone is .9 higher

7 0
2 years ago
Read 2 more answers
Other questions:
  • PHYTHAGOREAN THEOREM PLEASE HELP
    15·1 answer
  • Help please thank you
    8·1 answer
  • The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional emp
    15·2 answers
  • James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i
    7·2 answers
  • Can you put these math questions in order for me. Thx
    9·1 answer
  • (−7, 0), y = −0.3x + 4.3
    15·1 answer
  • HELP ME PLSSS SUMMER SCHOOL A HARD
    12·1 answer
  • Estimate the volume of a cube with side<br> lengths of 4.1 centimeters.
    14·1 answer
  • Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
    13·1 answer
  • Order the following expressions from least to greatest<br><br> (Quick Please)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!