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:

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Sample Questions
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Question : 1

Multiply  frac{-9}{5}xytimes frac{25}{3}x^{3}y . Evaluate the product by taking x= -1, y=2

Right Option : A
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Explanation
Question : 2

Express (-3p^2+7pq^2)times 2p^2q^2r product as sum

Right Option : B
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Explanation
Question : 3

Evaluate this expression :  frac{1}{4}x^2y X (frac{3}{4}xy^2-2x^2y)

Right Option : A
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Explanation
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