Question

Factor completely. 15x^2y^2-3x^3y+75x^4

Answer 1

 15x2y2+3x3y+75x4 Final result : 3x2 • (25x2 + xy + 5y2)

Step by step solution :Step  1  :Equation at the end of step  1  : (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4) Step  2  :Equation at the end of step  2  : (((15•(x2))•(y2))+(3x3•y))+(3•52x4) Step  3  :Equation at the end of step  3  : (((3•5x2) • y2) + 3x3y) + (3•52x4) Step  4  :Step  5  :Pulling out like terms :

 5.1     Pull out like factors :

   75x4 + 3x3y + 15x2y2  =   3x2 • (25x2 + xy + 5y2) 

Trying to factor a multi variable polynomial :

 5.2    Factoring    25x2 + xy + 5y2 

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

 Factorization fails

Final result : 3x2 • (25x2 + xy + 5y2)