Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. x is multiplied by itself and then added to the product of x and y

Solution:

Given, x is multiplied by itself and then added to the product of x and y.

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

x is multiplied by itself = x × x

= x²

Product of x and y = x × y

= xy

Now, x is multiplied by itself and then added to the product of x and y = x² + xy

Therefore, the algebraic expression is x² + xy

The expression contains two unlike terms.

Expression with two unlike terms is called a 'Binomial’

Therefore, x² + xy is a binomial.

✦ Try This: Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. Perimeter of triangle with side 3a, 4b and 8c

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

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

Write the following statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial. x is multiplied by itself and then added to the product of x and y

Summary:

The algebraic expression of the statement “x is multiplied by itself and then added to the product of x and y” is x² + xy, which is a binomial

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