# Factorization method for ka + kb + kc type expressions

**Factorization method ka + kb + kc type expressions**

In such algebraic expressions a common is separated out of the bracket;

i-e

In above sentence ‘k’ is common with each term of the algebraic expression, so we take it out of bracket like below;

‘k’ has been taken out and in this way we got two factors ‘k’ and (a+b+c) of the given expression. If we multiply these factors then again we will get the original given expression.

**Example: factorize 5a+5b+15c**

**Solution:**

Here we see that 5 is present with every term of the given algebraic , we take this common 5 out of bracket like this;

and in this way we got two factors ‘5’ and (a+b+3b)- and if we multiply these together – we again get 5a+5b+15c