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
andreev551 [17]
3 years ago
9

Simplify the following monomials pls

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

1.) a^4b

2.) p^3q^4

3.) 2n^42n^4

4.) 5xy^2z

5.) 2a^3b^5

I hope this helps:

You might be interested in
Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
The sale price of a table is $472 it was 20% off what was the original price?
ira [324]
To solve, set an equation:

472=0.8x

Divide both sides by 0.8

472/0.8=0.8x/0.8

x=590

Answer: The original price was $590
5 0
3 years ago
Which function forms an arithmetic sequence when x = 1,2,3,…?<br> ( help please! )
MariettaO [177]

Step-by-step explanation:

hope you can understand

3 0
2 years ago
What is the area of the composite figure?<br> units
Pani-rosa [81]

Answer:

Step-by-step explanation:

You have to decompose the figure. Cut it into different sections like squares, triangles, and rectangles so you can find the area. Once you have decomposed it, multiply the sides of each section to find the separate area of each  square, triangle, rectangle, etc then add up those areas.

3 0
3 years ago
Read 2 more answers
The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $4,500 worth of stocks. How m
AlexFokin [52]

Answer: last week he made $630

Step-by-step explanation:

14% of 4500 is 630

8 0
3 years ago
Other questions:
  • a jar that has 5 yellow, 3 red, and 8 green marbles. What is the probability of selecting a red marble from the jar
    9·1 answer
  • The results of a poll show that between 75% and 83% of consumers prefer Chip A to Chip B. What is the point estimate for the per
    12·2 answers
  • Can someone please help me on this question? Use the following diagram to find the fraction representing each collection of dots
    14·1 answer
  • What is the combined length of all the pieces Meg measured? Write an equation using a variable to show your work.
    5·1 answer
  • Solve the equation.
    7·2 answers
  • Can someone please help me, I don't get worded questions.
    11·1 answer
  • Grace earned £32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 d
    6·2 answers
  • A group of 5 friends shares 35 pieces of candy equally. How many pieces of candy does each friend receive?​
    13·2 answers
  • Sandy can clean her room in 1/4 the time it takes her older brother to clean his. Sandy does the job in a half hour. How long do
    8·1 answer
  • Pre calculus question need help asap
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!