Solution - Factoring multivariable polynomials

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -b⁶⁴⁸⁸a⁵ + tg² - tg  =   -1 • (b⁶⁴⁸⁸a⁵ - tg² + tg) 

Trying to factor a multi variable polynomial :

 2.2    Factoring    b⁶⁴⁸⁸a⁵ - tg² + tg 

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

 Factorization fails

Final result :

  -b6488a5 + tg2 - tg