Question

(1+1/x)(1+1/x+1)(1+1/x+2)(1+1/x+3)find simplest value​

Answer 1

Answer:

Let x = y-3

new equation

$\frac{1}{y - 2} . \frac{1}{y - 1} . \frac{1}{y + 1} . \frac{1}{y + 2} \\ \\ = \frac{1}{( {y}^ {2} - 1)( {y}^{2} - 4) } \\ \\ = \frac{1}{ {y}^{4} - 5 {y}^{2} + 4 }$