Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. Sum of the products of a and b, b and c and c and a

Solution:

Given, sum of the products of a and b, b and c and c and a.

We have to express the statement in algebraic form and classify it.

Product of a and b = a × b

= ab

Product of b and c = b × c

= bc

Product of c and a = c × a

= ac

Now, sum of the products of a and b, b and c and c and a = ab + bc + ac

Therefore, the algebraic expression is ab + bc + ac

The expression contains three terms

Expression with three unlike terms is called a 'Trinomial’

Therefore, ab + bc + ac is a trinomial.

✦ Try This: Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. Sum of the products of x and y, y and z and z and x

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

NCERT Exemplar Class 7 Maths Chapter 10 Problem 53 (d)

Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. Sum of the products of a and b, b and c and c and a

Summary:

The algebraic expression of the statement “Sum of the products of a and b, b and c and c and a” is ab + bc + ac, which is a trinomial

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