A systematic way of factorizing an expression is the Factorization by Common Factor. It consists of three steps:
(i) Write each term of the expression as a product of irreducible factors.
(ii) Look for and separate the common factors.
(iii) Combine the remaining factors in each term in accordance
with the distributive law.
Examples on Factorization by Common Factor method :
Solution :
The HCF of 35 a 2, 21 a2 b and 14 a2b is 7 a
a - 21 a b + 14 2 = 7 a ( 5 – 3b + 2 b)
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Binomial as a common factor
Examples ( a + b )( a + b)
2
= 15 ( x – y ) ( x – y) – 5x ( x – y) – ( x –y )