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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.
(c) 5x2
y – 5x2 + 3yx2
– 3y2 + x2
– y
2 + 8xy2
– 3y2?
monomial, a binomial or a trinomial.
(c) 5x2
y – 5x2 + 3yx2
– 3y2 + x2
– y
2 + 8xy2
– 3y2?
Most Upvoted Answer
Simplify the following by combining like terms and then write whether ...
Step 1: Identify Like Terms
To simplify the expression 5x²y - 5x² + 3yx² - 3y² + x² - y² + 8xy² - 3y², we first identify the like terms.
Like Terms:
- 5x²y
- 3yx² (which is the same as 3x²y)
- -5x², x²
- -3y², -y², -3y²
- 8xy²
Step 2: Combine Like Terms
Now, we combine the like terms:
- For x²y terms:
5x²y + 3x²y = 8x²y
- For x² terms:
-5x² + x² = -4x²
- For y² terms:
-3y² - y² - 3y² = -7y²
- For xy² term:
8xy² remains as it is.
Step 3: Write the Simplified Expression
Combining all the results, we get:
8x²y - 4x² - 7y² + 8xy²
Final Expression:
8x²y + 8xy² - 4x² - 7y²
Step 4: Determine the Type of Expression
Now we can determine the type of expression:
- A monomial has one term.
- A binomial has two terms.
- A trinomial has three terms.
In our case, the expression 8x²y + 8xy² - 4x² - 7y² has four terms.
Conclusion:
This expression is not a monomial, binomial, or trinomial; it is a polynomial with four terms.
To simplify the expression 5x²y - 5x² + 3yx² - 3y² + x² - y² + 8xy² - 3y², we first identify the like terms.
Like Terms:
- 5x²y
- 3yx² (which is the same as 3x²y)
- -5x², x²
- -3y², -y², -3y²
- 8xy²
Step 2: Combine Like Terms
Now, we combine the like terms:
- For x²y terms:
5x²y + 3x²y = 8x²y
- For x² terms:
-5x² + x² = -4x²
- For y² terms:
-3y² - y² - 3y² = -7y²
- For xy² term:
8xy² remains as it is.
Step 3: Write the Simplified Expression
Combining all the results, we get:
8x²y - 4x² - 7y² + 8xy²
Final Expression:
8x²y + 8xy² - 4x² - 7y²
Step 4: Determine the Type of Expression
Now we can determine the type of expression:
- A monomial has one term.
- A binomial has two terms.
- A trinomial has three terms.
In our case, the expression 8x²y + 8xy² - 4x² - 7y² has four terms.
Conclusion:
This expression is not a monomial, binomial, or trinomial; it is a polynomial with four terms.
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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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2?
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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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2? 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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2? 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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2?.
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2? 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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2? 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.(c) 5x2 y – 5x2 + 3yx2 – 3y2 + x2 – y 2 + 8xy2 – 3y2?.
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