Multiplication of Algebraic Expressions: Introduction

(i) Look at the following patterns of dots.

Can you now think of similar other situations in which two algebraic expressions have to be multiplied?

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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 =

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Try these

Another example of multiplying two algebraic expressions