In factorization when monomial is common factor we know, that an algebraic expression is the sum or the difference of monomials.
In order to factorize follow the following steps:
Step 1: Write the algebraic expression.
Step 2: Find the HCF of all the terms of the
given algebraic expression.
Step 3: Express each terms of the algebraic expression as the product of H.C.F and the quotient when it is divided by the H.C.F.
i.e. divide each term of
the given expression by the HCF.
Step 4: Now use distributive property of multiplication over addition or subtraction to express the algebraic expression as the product of H.C.F and the quotient of the expression divided by the H.C.F.
the given expression as the product of this HCF and the quotient obtained in
Step 5: Keep the H.C.F. outside the bracket and the quotients obtained within the bracket.
Solved examples of factorization when monomial is common:
each of the following:
(i) 5x + 20
5x + 20
= 5(x + 4)
(ii) 2n2 + 3n
(iv) 6ab - 9bc
6ab - 9bc
= 3b(2a - 3c)
2. Factorize 6a2b2c + 27abc.