 Hello and welcome to the session. In this session we discussed the following question that says, factorize 7 into a-2b whole square minus 25 into a-2b plus 12. Now let's move on to the solution. We need to factorize 7 into a-2b whole square minus 25 into a-2b plus 12. First we substitute a-2b as x so we get 7x square minus 25x plus 12. Now we can factorize this expression by splitting the middle term. We need to find two numbers say a and b such that their product is equal to 12 into 7 that is equal to 84 and their sum is equal to minus 25. So we can write this as 7x square minus 21x minus 4x plus 4. Now these are the two groups formed. From the first group we take out 7x common inside we are left with x minus 3. From this group we take out minus 4 common and inside we have x minus 3 and this is further equal to x minus 3 into 7x minus 4. Now we substitute x equal to a-2b in this so this would give us a-2b-3 into 7 into a-2b-4 that is we have this is equal to a-2b-3 into 7a-14b-4. Thus we have 7 into a-2b whole square minus 25 into a-2b plus 12 is equal to a-2b-3 into 7a-14b-4. So the given expression is factorized as this. This is our final answer. This concludes the session. Hope you have understood the solution for this question.