 Hello and welcome to the session. In this session we discussed the following question which says, if x plus 1 upon x is equal to 4, find the value of x to the power 4 plus 1 upon x to the power 4. Before moving on to the solution, let's recall the identity a plus b whole square is equal to a square plus 2ab plus b square. This is used as the key idea in this question. Now let's move on to the solution. We are given that x plus 1 upon x is equal to 5. So this would mean x plus 1 upon x whole square is equal to 5 square. That is, we get this on squaring both sides. Now expanding x plus 1 upon x whole square using the identity a plus b whole square equal to a square plus 2ab plus b square. So this would give us x square plus 2 into x into 1 upon x plus 1 upon x whole square. This is equal to 5 square which is 25. Now this further gives us x square plus 2. So this is x and x gets cancelled plus 1 upon x whole square would be 1 upon x square equal to 25. This gives us x square plus 1 upon x square is equal to 25 minus 2. That is, we have x square plus 1 upon x square is equal to 23. Now again, we square both the sides. So on squaring both sides, we get x square plus 1 upon x square whole square is equal to 23 whole square. Again, using the identity given in the key idea of a plus b whole square equal to a square plus 2ab plus b square, we will expand the left hand side that is x square plus 1 upon x square the whole square. So this would give us x square the whole square plus 2 into x square into 1 upon x square plus 1 upon x square the whole square equal to 23 whole square. So now this further gives us x square the whole square is x to the power 4 plus 2 since this x square and x square gets cancelled plus 1 upon x square the whole square is 1 upon x to the power 4 is equal to 23 whole square which is 529. Now from here, we get x to the power 4 plus 1 upon x to the power 4 is equal to 529 minus 2. This gives us x to the power 4 plus 1 upon x to the power 4 is equal to 527. So we have got the value for x to the power 4 plus 1 upon x to the power 4 equal to 527. So our final answer is 527. So this completes the session. Hope you understood the solution for this question.