Multiplication of Binomial with a Monomial


 
 
Concept Explanation
 

Multiplication of Binomial with a Monomial

The multiplication of expressions follow distributive property over their addition i.e.,

a times (b + c) = a times b + a times c.

We shall use this property to multiply a monomial and a binomial

Illustration: Multiply 2a and (3a - 4)

Solution: As per given question:

Monomial = 2a

Binomial = (3a - 4)

The multiplication expression will be 2a  X (3a - 4)

Use Distributive Law and multiply monomial with every term of binomial & this is done in the following steps:

= (2a X 3a) - (2a X 4)

= 6a^2-8a

Hence, 2a (3a - 4) = 6a^2-8a 

Illustration: Multiply 2x by 3x+5y.

Solution: Similarly by using the distributive property: large 2x times (3x + 5y) = 2x times 3x + 2x times 5y = 6x^{2} + 10xy

Illustration: Multiply: 7xy +5y  by 3xy

Solution:  Similarly by using the distributive property:

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

Multiply 2y with 4x + 5

Right Option : A
View Explanation
Explanation
Question : 2

Multiply 3x with (10y + 1)

Right Option : B
View Explanation
Explanation
Question : 3

Choose the correct option from the following options .

Right Option : D
View Explanation
Explanation
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English

Language - English




Students / Parents Reviews [20]