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Home >> Polynomials >> Multiplication of Polynomials >> Multiplication of Monomial & Binomial >> Multiplication of Monomial & Binomial
Before you understand this concept, you are advised to read:
What are Monomials & Binomials ?
What are Terms of Polynomial ?
While multiplying a monomial and a binomial you will find following situations:
Multiply Monomial and Binomial
Example 1: Multiply 2a and (3a - 4)
Example 2: Multiply 4x and (x + y)
Multiply Binomial and Monomial
Example 3: Multiply (4 + q) and q2
Example 4: Multiply (a - b) and c
Multiply Monomial and Binomial:
Example 1: Multiply 2a and (3a - 4)
Solution: As per given question:
Monomial = 2a
Binomial = (3a - 4)
Write in the multiplication expression and we get:
2a (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)
= 6a2 - 8a
Hence, 2a (3a - 4) = 6a2 - 8a
Example 2: Multiply 4x and (x + y)
Solution: As per given question:
Monomial = 4x
Binomial = (x + y)
Write in the multiplication expression and we get:
4x (x + y)
Use Distributive Law and multiply monomial with every term of binomial & this is done in the following steps:
= (4x X x) + (4x X y)
= 4x2 + 4xy
Hence, 4x (x + y) = 4x2 + 4xy
Multiply Binomial and Monomial
Example 3: Multiply (4 + q) and q2
Solution: As per given question:
Binomial = 4 + q
Monomial = q2
Write in the multiplication expression and we get:
(4 + q) q2
Use Distributive Law and multiply monomial with every term of binomial & this is done in the following steps:
= (4 X q2)+ (q X q2)
= 4q2 + q3
Or we can write it as:
= q3 + 4q2
Hence, (4 + q) q2 = q3 + 4q2
Example 4: Multiply (a - b) and c
Solution: As per given question:
Binomial = (a - b)
Monomial = c
Write in the multiplication expression and we get:
(a - b) c
Use Distributive Law and multiply monomial with every term of binomial & this is done in the following steps:
= (a X c) - (b X c)
= ac - bc
Hence, (a - b) c = ac - bc
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