Question

simplify x(2x-xy)-2y(3y-2x^2y)+x^2(
1+y^2)​

Answer 1

Answer:

2x(x+2y)-3y(2x-y)+xy(2-y)  

Final result :

 2x2 - xy2 + 3y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((2x•(x+2y))-(3y•(2x-y)))+xy•(2-y)

Step  2  :

Equation at the end of step  2  :

 ((2x•(x+2y))-3y•(2x-y))+xy•(2-y)

Step  3  :

Equation at the end of step  3  :

 (2x•(x+2y)-3y•(2x-y))+xy•(2-y)

Step  4  :

Trying to factor a multi variable polynomial :

4.1    Factoring    2x2 - xy2 + 3y2  

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

Factorization fails

Final result :

 2x2 - xy2 + 3y2

mark it as best answer

Answer 2

Step-by-step explanation:

2x(x+2y)-3y(2x-y)+xy(2-y)

Final result :

2x2 - xy2 + 3y2

Step by step solution :

Step 1:

Equation at the end of step 1:

((2x (x+2y))-(3y.(2x-y)))+xy-(2-y)

Step 2:

Equation at the end of step 2:

((2x-(x+2y))-3y.(2x-y))+xy.(2-y)

Equation at the end of step 3: