FACTORING MONOMIALS

Monomial is an algebraic expression consisting of one term. Factoring monomials is a process of breaking down a monomial into smaller terms. Even though factoring a polynomial usually shortens the polynomial, factoring a monomial expands it.

Example 1 :

25n²

Solution : 

25n²  =  5 ⋅ 5 ⋅ n ⋅ n

Example 2 :

18xy

Solution : 

18xy  =  2 ⋅ 3 ⋅ 3 ⋅ x ⋅ y

Example 3 :

12y

Solution : 

12y  =  2 ⋅ 2 ⋅ 3 ⋅ y

Example 4 :

21y²

Solution : 

21y²  =  3 ⋅ 7 ⋅ y ⋅ y

Example 5 :

81a

Solution : 

81a  =  3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ a

Example 6 :

92q

Solution : 

92q  =  2 ⋅ 2 ⋅ 23 ⋅ q

Example 7 :

36x³

Solution : 

36x³  =  2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ x ⋅ x ⋅ x

Example 8 :

24h

Solution : 

24h  =  2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ h

Example 9 :

48x²

Solution : 

48x²  =  2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ x ⋅ x

Example 10 :

x²y³

Solution : 

x²y³  =  x ⋅ x ⋅ y ⋅ y ⋅ y

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