Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (1 +  32x2) -  x4

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  -x⁴+9x²+1 

The first term is,  -x⁴  its coefficient is  -1 .
The middle term is,  +9x²  its coefficient is  9 .
The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   -1 • 1 = -1 

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   9 .

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  -x4 + 9x2 + 1