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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: Write down 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
- Identify and group like terms:
- x^4: 1 term
- x^3y: -3y + (-1)yx^3 = -4x^3y
- x^2y: 3x^2y + 4yx^2 - 3y^2x^2 = 4x^2y (combining 3x^2y and 4yx^2)
- y^4: 1 term
- y^3: -3xy^3
- y^2: 3x^2y^2 - 3y^2x^2 = 0 (these cancel each other out)
- Rearranging the combined terms:
- x^4 - 4x^3y + 4x^2y + y^4 - 3xy^3
Step 3: Final simplified expression
The simplified expression is:
x^4 - 4x^3y + 4x^2y - 3xy^3 + y^4
Step 4: Determine the type of expression
- The expression contains 5 distinct terms:
- x^4
- -4x^3y
- 4x^2y
- -3xy^3
- y^4
Since there are more than two terms, this expression is classified as a trinomial.
Conclusion
- The final expression is:
x^4 - 4x^3y + 4x^2y - 3xy^3 + y^4
- This expression is a trinomial.
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
- Identify and group like terms:
- x^4: 1 term
- x^3y: -3y + (-1)yx^3 = -4x^3y
- x^2y: 3x^2y + 4yx^2 - 3y^2x^2 = 4x^2y (combining 3x^2y and 4yx^2)
- y^4: 1 term
- y^3: -3xy^3
- y^2: 3x^2y^2 - 3y^2x^2 = 0 (these cancel each other out)
- Rearranging the combined terms:
- x^4 - 4x^3y + 4x^2y + y^4 - 3xy^3
Step 3: Final simplified expression
The simplified expression is:
x^4 - 4x^3y + 4x^2y - 3xy^3 + y^4
Step 4: Determine the type of expression
- The expression contains 5 distinct terms:
- x^4
- -4x^3y
- 4x^2y
- -3xy^3
- y^4
Since there are more than two terms, this expression is classified as a trinomial.
Conclusion
- The final expression is:
x^4 - 4x^3y + 4x^2y - 3xy^3 + y^4
- This expression is a trinomial.
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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?
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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?.
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