Modified expansions form quadratic equation

 

 

 

 

Recall that

 in 0209

Here,

 in 0208

Plugging x+2 to x in the formula in 0209 above, we get

  on the left terms

 

From gamma-shaped multipliers, we can say that

   on the right terms   

 

 

 

 

In the same way as above,

 in 0209

Plugging x-2 to x in the formula in 0209 at the beginning, we get

  on the left terms

 

From gamma-shaped multipliers, we can say that

   on the right terms   

 

 

 

 

 

From the formula

 in 0208

Adding one on both sides, we get

Since

we can say that

   on the left terms

From gamma-shaped multipliers, we can say that

       on the right terms