. Factorize a² +3ab - 5ab - 15b²

a² +3ab - 5ab - 15b² = (a+3b) (a-5b)

Step-by-step explanation:

We need to factorize a² +3ab - 5ab - 15b². Firstly we need to rearrange the expression such that,

Now taking a common from the first two terms and 3b from last two terms, then :

In the above expression, a factor (a-5b) is in both the terms. It would mean that,

So, the factors of a² +3ab - 5ab - 15b² are (a+3b) (a-5b).