 Hello friends, let's discuss the following question. It says, expand each of the expressions in exercises 1 to 5 and we will be solving the fifth question. And to solve this question we need to know the expansion of A plus B whole to the power n and it is equal to n c 0 A to the power n plus n c 1 A to the power n minus 1 B plus n c 2 A to the power n minus 2 B to the power 2. So on the last term is n c n B to the power n. So this knowledge will work as k idea. Let us now proceed on with the solution. The given expression is x plus 1 upon x whole to the power 6 and this is in the form A plus B whole to the power n where n is 6 A is x B is 1 upon x. Now we expand this using this expansion. So x plus 1 upon x whole to the power 6 is equal to 6 c 0 x to the power 6 plus 6 c 1 x to the power 6 minus 1 that is 5 into 1 upon x plus 6 c 2 x to the power 4 into 1 upon x to the power 2 plus 6 c 3 x to the power 3 into 1 upon x to the power 3 plus 6 c 4 into x to the power 2 into 1 upon x to the power 4 plus 6 c 5 into x to the power 1 into 1 upon x to the power 5 plus 6 c 6 into 1 upon x to the power power 6 and now this is equal to 6C0 is 1 so the first term is x to the power 6, 6C1 is 6 so the second term is 6 into x to the power 5 upon x is 15 so second term is 15 into x to the power 4 upon x to the power 2, 6C3 is 20 so the fourth term is 20 into x to the power 3 upon x to the power 3, 6C4 is 15 so the fifth term is 15 into x to the power 2 upon x to the power 4, 6C5 is 6 so term is 6 into x upon x to the power 5 plus 6C6 is 1 so the last term is 1 upon x to the power 6 and now this is equal to x to the power 6 plus 6x to the power 4 plus 15x to the power 2 plus 20 plus 15 upon x to the power 2 plus x upon x to the power 4 plus 1 upon x to the power 6 hence the required expansion is x to the power 6 plus 6x to the power 4 plus 15x to the power 2 plus 20 plus 15 upon x to the power 2 plus 6 upon x to the power 4 plus 1 upon x to the power 6 and this completes the version hope you enjoyed this session goodbye and take care