Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a
Solution:
Given, the expression is 2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a.
We have to combine the like terms and classify the expression.
By combining like terms,
2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a = 2a - 2a + 2a + 2b - 2b - 2b + 2c - 2c + 2c
= 2a - 2b + 2c
Therefore, the simplified expression after combining the like terms is 2a - 2b + 2c.
The expression contains three unlike terms.
An expression with three unlike terms is called a 'Trinomial’.
Therefore, 2a - 2b + 2c is a trinomial.
✦ Try This: Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 4x + 2y + 3z - 2x - 2y + 4z - 2y + 2z + 2x
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 56 (d)
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a
Summary:
After simplifying the expression 2a + 2b + 2c - 2a - 2b - 2c - 2b + 2c + 2a by combining the like terms we get 2a - 2b + 2c, which is a trinomial
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