 Hello and welcome to the session. In this session we will discuss a question which says that expand 2 minus 3x whole place to power 5 by 2 to 3 times. Now before starting the solution of this question, we should know the expansion of a binomial expression. And that is 1 plus x raised to power n is equal to 1 plus nx plus n into n minus 1 over 1 into 2 into x square plus n into n minus 1 into n minus 2 over 1 into 2 into 3 into x cube plus so on up to infinity where absolute value of x is less than 1 and n be any fraction. Now this result will work out as a key idea for solving out this question. Now we will start with the solution. Here we have to expand 2 minus 3x whole raise to power 5 by 2. Now before expanding this we have to make the first term equal to unity. So this will be equal to 2 raise to power 5 by 2 inside 1 minus 3 by 2x whole raise to power 5 by 2. Now using the expansion which is given in the key idea here x is minus 3 by 2x and n is 5 by 2. Now we have to expand this so this will be equal to 2 raise to power 5 by 2 inside 1 plus nx which is 5 by 2 into minus 3 by 2x plus n into n minus 1 that means 5 by 2 into 5 by 2 minus 1 over 1 into 2 into x square x is minus 3 by 2x so it will be minus 3 by 2x whole square plus so on. So this will be equal to 2 raise to power 5 by 2 inside 1 minus 5 into 3 is 15 and 2 into 2 is 4 so it will be 15 by 4x plus 5 by 2 into 5 by 2 minus 1 is 3 by 2 over 1 into 2 is 2 into minus 3 by 2x whole square is 9 by 4x square plus so on. Further this will be equal to 2 raise to power 5 by 2 inside 1 minus 15 by 4x plus on solving this it will be 15 by 8 into 9 by 4x square plus so on and this will be equal to 2 raise to power 5 by 2 inside 1 minus 15 by 4x plus 15 into 9 is 135 and 8 into 4 is 32 so it will be 135 over 32x square plus so on. Hence the expansion of 2 minus 3x whole raise to power 5 by 2 up to 3 terms is equal to 2 raise to power 5 by 2 inside 1 minus 15 by 4x plus 135 over 32x square plus so on. So this is the solution of the given question and that's all for this session. Hope you all have enjoyed the session.