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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.
(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a?
monomial, a binomial or a trinomial.
(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a?
Most Upvoted Answer
Simplify the following by combining like terms and then write whether ...
Step 1: Distribute the Negative Sign
To simplify the expression, we first need to distribute the negative sign across the parentheses. The expression is:
3a – 2b – ab – (a – b + ab) + 3ab + b – a
Distributing the negative sign:
3a – 2b – ab – a + b – ab + 3ab + b – a
Step 2: Combine Like Terms
Next, we combine the like terms:
- Terms with 'a':
- 3a - a - a = 3a - 2a = a
- Terms with 'b':
- -2b + b + b = -2b + 2b = 0
- Terms with 'ab':
- -ab - ab + 3ab = -2ab + 3ab = ab
So, the combined expression becomes:
a + ab
Step 3: Identify the Type of Expression
Now, let's determine whether the simplified expression a + ab is a monomial, binomial, or trinomial:
- Monomial: One term (e.g., 5x)
- Binomial: Two terms (e.g., x + y)
- Trinomial: Three terms (e.g., x + y + z)
The expression a + ab has two terms. Therefore, it is a binomial.
Final Result
The final simplified expression is:
a + ab
And it is classified as a binomial.
To simplify the expression, we first need to distribute the negative sign across the parentheses. The expression is:
3a – 2b – ab – (a – b + ab) + 3ab + b – a
Distributing the negative sign:
3a – 2b – ab – a + b – ab + 3ab + b – a
Step 2: Combine Like Terms
Next, we combine the like terms:
- Terms with 'a':
- 3a - a - a = 3a - 2a = a
- Terms with 'b':
- -2b + b + b = -2b + 2b = 0
- Terms with 'ab':
- -ab - ab + 3ab = -2ab + 3ab = ab
So, the combined expression becomes:
a + ab
Step 3: Identify the Type of Expression
Now, let's determine whether the simplified expression a + ab is a monomial, binomial, or trinomial:
- Monomial: One term (e.g., 5x)
- Binomial: Two terms (e.g., x + y)
- Trinomial: Three terms (e.g., x + y + z)
The expression a + ab has two terms. Therefore, it is a binomial.
Final Result
The final simplified expression is:
a + ab
And it is classified as a binomial.
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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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a?
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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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a? 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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a? 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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a?.
Simplify the following by combining like terms and then write whether the expression is a monomial, a binomial or a trinomial.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a? 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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a? 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.(b) 3a – 2b – ab – (a – b + ab) + 3ab + b – a?.
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