Question

Factorize: a^4+2xa³+a²x²-y^4

Answer 1

9514 1404 393

Answer:

  (a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

  a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

  = (a(a+x) -y^2)(a(a+x) +y^2)

  = (a^2 +ax -y^2)·(a^2 +ax +y^2)

Answer 2

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)