User:SaniyaDoNotLikeConversationsOnPhoneBecauseSheIsAnAnxiousPerson/Sample page

Our question is to factorize 6x^2 - 15x

now its clearly visible that '6' and '15' are the multiples of 3 so 3x ( 2x - 5) is the answer

HOW ? if we breakdown the term '6x^2 - 15x' so it will be 2x X 3x - 3x X 5 now we need to find the common terms 2x X 3x - 3x X 5 we found that '3x' is the only common term so it will come outside of the bracket. All the other terms will be inside the bracket so the final answer can be written as: 3x(2x - 5)