Innings2
Create New Account

Sign in to Innings2

or

New Account     Reset Password     

Chapter 11: Algebraic Expressions

    Introduction

    Like and Unlike Terms

    Addition and Subtraction of Algebraic Expressions

    Multiplication of Algebraic Expressions

    Multiplication of a Monomial by a Monomial

    Multiplication of a Binomial or Trinomial by a Monomial

    Multiplication of a Binomial by a Binomial or Trinomial

    What is an Identity ?

    Some Important Identities

    Applications of Identities

    Geometric Verification of the Identities

    Exercise 11.1

    Exercise 11.2

    Exercise 11.3

    Exercise 11.4

    Exercise 11.5

    What We Have Discussed?

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

Powered by Innings 2

Reset Progress

This will delete your progress and chat data for all chapters in this course, and cannot be undone!

Glossary

Select one of the keywords on the left…

Chapter 11: Algebraic Expressions > Multiplication of Algebraic Expressions

Multiplication of Algebraic Expressions

(i) Look at the following patterns of dots.

Pattern of dotsTotal number of dots
4 ×
× 7
m ×
× n+3

Ameena comes up with one such case concerning area of a rectangle. The area of a rectangle is , where l is the length, and b is breadth.

If the length of the rectangle is increased by 5 units, i.e. units and breadth is decreased by 3 units , i.e. units, the area of the new rectangle will be .

Can you think about volume? (The volume of a rectangular box is given by the product of its length, breadth and height).

Sarita points out that when we buy things, we have to carry out multiplication.

For example, if price of bananas per dozen = p and for the school picnic bananas needed = z dozens, then we have to pay =

Suppose, the price per dozen was less by Rs. 2 and the bananas needed were less by 4 dozens. Then, price of bananas per dozen = and bananas needed = dozens, Therefore, we would have to pay =

Try these

Another example of multiplying two algebraic expressions

Instructions

We know that distance = x time
So, in situations where both the speed and the time are given as algebraic expressions (monomials, binomials, trinomials etc), then we need to the given algebraic expressions to obtain the distance travelled by an object.

Can you think of two more such situations, where we may need to multiply algebraic expressions? Put Yes/No for the given circumstances

Finding the Area of a Rectangle

Calculating the Volume of a Rectangular Prism

Profit Calculation in Business

Cost of Manufacturing

In all the above examples, we had to carry out multiplication of two or more quantities. If the quantities are given by algebraic expressions, we need to find their product. This means that we should know how to obtain this product. Let us do this systematically. To begin with we shall look at the multiplication of two monomials.