Class 7 Exam > Class 7 Questions > Simplify the following by combining like term...
Start Learning for Free
Simplify the following by combining like terms and then write whether the expression is a
monomial, a binomial or a trinomial.
(a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?
monomial, a binomial or a trinomial.
(a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?
Most Upvoted Answer
Simplify the following by combining like terms and then write whether ...
Step 1: Identify the Expression
The expression to simplify is:
x^4 + 3x^2y + 3x^2y^2 - 3x^3y - 3xy^3 + y^4 - 3y^2x^2 + 4yx^2 - yx^3
Step 2: Combine Like Terms
- Identifying Like Terms:
- x^4: 1 term
- x^3y: -3y + (-1)y = -4x^3y
- x^2y: 3x^2y + 4yx^2 - 3y^2x^2 = 4x^2y - 3x^2y = 0 (cancel out)
- x^2y^2: 3x^2y^2: 1 term
- xy^3: -3xy^3: 1 term
- y^4: 1 term
- Combining the Terms:
- The simplified expression is:
x^4 - 4x^3y + 3x^2y^2 - 3xy^3 + y^4
Step 3: Classify the Expression
- Count the Terms:
- There are 5 distinct terms:
- x^4
- -4x^3y
- 3x^2y^2
- -3xy^3
- y^4
- Classification:
Since there are 5 terms, the expression is classified as a polynomial.
However, since it has more than three terms, it is not a monomial, binomial, or trinomial.
Final Result
The simplified expression is:
x^4 - 4x^3y + 3x^2y^2 - 3xy^3 + y^4
And it is classified as a polynomial with 5 terms.
The expression to simplify is:
x^4 + 3x^2y + 3x^2y^2 - 3x^3y - 3xy^3 + y^4 - 3y^2x^2 + 4yx^2 - yx^3
Step 2: Combine Like Terms
- Identifying Like Terms:
- x^4: 1 term
- x^3y: -3y + (-1)y = -4x^3y
- x^2y: 3x^2y + 4yx^2 - 3y^2x^2 = 4x^2y - 3x^2y = 0 (cancel out)
- x^2y^2: 3x^2y^2: 1 term
- xy^3: -3xy^3: 1 term
- y^4: 1 term
- Combining the Terms:
- The simplified expression is:
x^4 - 4x^3y + 3x^2y^2 - 3xy^3 + y^4
Step 3: Classify the Expression
- Count the Terms:
- There are 5 distinct terms:
- x^4
- -4x^3y
- 3x^2y^2
- -3xy^3
- y^4
- Classification:
Since there are 5 terms, the expression is classified as a polynomial.
However, since it has more than three terms, it is not a monomial, binomial, or trinomial.
Final Result
The simplified expression is:
x^4 - 4x^3y + 3x^2y^2 - 3xy^3 + y^4
And it is classified as a polynomial with 5 terms.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?
Question Description
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?.
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?.
Solutions for Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? defined & explained in the simplest way possible. Besides giving the explanation of
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3?, a detailed solution for Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? has been provided alongside types of Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? theory, EduRev gives you an
ample number of questions to practice Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial. (a) x4 +3x2 y+3x2 y 2 -3x3 y-3xy3+y4 -3y2 x 2+4yx2 -yx3? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup