Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. p³q²r + pq²r³ + 3p²qr² - 9p²qr²
Solution:
Given, the expression is p³q²r + pq²r³ + 3p²qr² - 9p²qr².
We have to combine the like terms and classify the expression.
By combining like terms,
p³q²r + pq²r³ + 3p²qr² - 9p²qr² = p³q²r + pq²r³ + 3p²qr² - 9p²qr²
= p³q²r + pq²r³ - 6p²qr²
Therefore, the simplified expression after combining the like terms is p³q²r + pq²r³ - 6p²qr.
The expression contains three unlike terms.
Expression with three unlike terms is called a 'Trinomial’.
Therefore, p³q²r + pq²r³ - 6p²qr 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. 9a³b²c + 7ab²c³ + a²cr² - 7a²cr²
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 56 (c)
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial. p³q²r + pq²r³ + 3p²qr² - 9p²qr²
Summary:
After simplifying the expression p³q²r + pq²r³ + 3p²qr² - 9p²qr² by combining the like terms we get p³q²r + pq²r³ - 6p²qr, which is a trinomial
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