Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 3x²yz² - 3xy²z + x²yz² + 7xy²z

Solution:

Given, the expression is 3x²yz² - 3xy²z + x²yz² + 7xy²z.

We have to combine the like terms and classify the expression.

By combining like terms,

3x²yz² - 3xy²z + x²yz² + 7xy²z = 3x²yz² + x²yz² - 3xy²z + 7xy²z

= 4x²yz² + 4xy²z

Therefore, the simplified expression after combining the like terms is 4x²yz² + 4xy²z.

The expression contains two unlike terms.

An expression with two unlike terms is called a 'Binomial’.

Therefore, 4x²yz² + 4xy²z is a binomial.

✦ Try This: Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. (3y²+5y-4)-(8y-y²-4)

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 56 (a)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. 3x²yz² - 3xy²z + x²yz² + 7xy²z

Summary:

After simplifying the expression 3x²yz² - 3xy²z + x²yz² + 7xy²z by combining the like terms we get 4x²yz² + 4xy²z, which is a binomial

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