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Multiplying a Monomial by a Monomial

Multiplying Two Monomials :
 

 

 

From the above (i) - (v) examples,

 

 

Coefficient of product = coefficient of first monomial × coefficient of 2nd monomial

Algebraic factor of product = algebraic factor of first monomial × algebraic factor of second monomial.

 

The powers of different variables, we use the rules of exponents and powers.

Multiplying three or more monomials

 

 

From the above two examples we first multiply the first two monomials and then multiply the resulting monomial by the third monomial. This method can be extended to the product of any number of monomials.
 

Example

Complete the table for area of a rectangle with given length & breadth

Length

Breadth

Area

 

Examples

Find the volume of each rectangular box with given length, breadth and height

 

Length

Breadth

Height

(i)
(ii)
(iii)

Solution

Volume = length × breadth × height

 





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