Question

Factorize x^4+x^3y-x^3y^2-x^2y^3+x^2y^2-y^4

Answer 1

Answer: x4-2x3y-x2y2

Final result :

x2 • (x2 - 2xy - y2)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((x4) - (2x3 • y)) - x2y2

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

x4 - 2x3y - x2y2 = x2 • (x2 - 2xy - y2)

Trying to factor a multi variable polynomial :

3.2 Factoring x2 - 2xy - y2

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

Factorization fails

Final result :

x2 • (x2 - 2xy - y2)

Processing ends successfully

Step-by-step explanation: