Solution - Factoring multivariable polynomials

Step  1  :

Equation at the end of step  1  :

  ((x2) -  (16 • (x64))) -  52y2
 Step  2  :

Equation at the end of step  2  :

  ((x2) -  24x64) -  52y2

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -16x⁶⁴ + x² - 25y²  =   -1 • (16x⁶⁴ - x² + 25y²) 

Trying to factor a multi variable polynomial :

 4.2    Factoring    16x⁶⁴ - x² + 25y² 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Final result :

  -16x64 + x2 - 25y2