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
inysia [295]
2 years ago
8

Is the sum of two monomials always a monomial? Is their product always a monomial?

Mathematics
2 answers:
inessss [21]2 years ago
5 0

The sum of two monomials is not always a monomial and the product of two monomials is always a monomial.

Further explanation:

Explanation:

Consider the two monomials as 5y{\text{ and }}7y.

The sum of the two polynomials can be obtained as follows,

\begin{aligned}{\text{Sum}} &= 5y + 7y\\&= 12y\\\end{aligned}

The sum of the two monomials is monomial.

Consider the two monomials as 5y{\text{ and }}7x.

The sum of the two polynomials can be obtained as follows,

{\text{Sum}} = 5y + 7x

The sum of the two monomials is not monomial.

Consider the two monomials as 4y{\text{ and }}6x.

The product of the two polynomials can be obtained as follows,

\begin{aligned}{\text{Product}} &= 4y \times 6x\\&= 24xy\\\end{aligned}

The product of the two monomials is monomial.

The sum of two monomials is not always a monomial and the product of two monomials is always a monomial.

Learn more

  1. Learn more about the polynomial brainly.com/question/12996944
  2. Learn more about logarithm model brainly.com/question/13005829
  3. Learn more about the product of binomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: sum, two monomial, monomials, always monomial, product, always, monomial, factor, factorization, polynomial, quadratic, cubic, greatest common factor, groups, multiplication, product, identities, common factor, expression, terms, grouping.

Ivan2 years ago
4 0

Sum of two monomials is not necessarily always a monomial.

For example:

Suppose we have two monomials as 2x and 5x.

Adding 2x+5x , we get 7x.

So if two monomials are both like terms then their sum will be a monomial.

Suppose we have two monomials as 3y and 4x

Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.

So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.

Product of monomials:

suppose we have 2x and 5y,

Product : 2x*5y = 10xy ( which is a monomial)

So yes product of two monomials is always a monomial.


You might be interested in
Which equation have the same solution as 2.3p-10.1=6.5p-4-0.01p?
valkas [14]
Its 230p-110=650p-400-p if not then i don't really know but that's what i got
7 0
2 years ago
I need help w the answer
Semenov [28]

Answer:

C

Step-by-step explanation:

Took the test and got it right hope it's right

8 0
2 years ago
Write two equations. the first equation should express the area of the square (a as a function of the length (l of a side. the s
Sergeu [11.5K]

Answer:

a = l²

v = s³

Step-by-step explanation:

The area of a rectangle is the product of its length and width. When that rectangle is a square, the length and width are the same. Here, they are given as "l". Then the area of the square is ...

a = l·l = l²

__

The volume of a cuboid is the product of its height and the area of its base. A cube of edge length s has a square base of side length s and a height of s. Then its volume will be ...

v = s·(s²) = s³

The two equations you want are ...

• a = l²

• v = s³

6 0
2 years ago
Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?
stiv31 [10]

Answer:

$1.76

Step-by-step explanation:

$1.10+$1.10 = $2.2

$3.96 - $2.2 = $1.76

6 0
2 years ago
A miner descended 1400 feet into a mine from the mine's entrance. While in the mine, he then rose 800 feet and then descended 45
postnew [5]
The correct answer is A.-1050
7 0
3 years ago
Read 2 more answers
Other questions:
  • The product of a number and four is subtracted from three to give forty seven
    8·1 answer
  • Last Saturday, there were 1,486 people at the Cineplex. There were about the same number of people in each of the 6 theaters. Be
    8·1 answer
  • What do I do in this question
    9·1 answer
  • Pat rides her bike to her friend's house every day for school.
    7·1 answer
  • I need help on this geometry problem
    8·1 answer
  • Pls help me 20 points
    13·2 answers
  • Find x-component of vector v⃗ =(250m/s , 30∘ above + x-axis)
    13·1 answer
  • Solving exponential equations with common bases
    6·1 answer
  • Correct answer gets brainliest and 5 stars
    15·2 answers
  • This hard anyone help?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!