Question

Factorize: a^4+2xa³+a²x²-y^4

Answer 1

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

Explanation:

a^4+2xa³+a²x²-y^4

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

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

Answer 2

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Answer:

(a^2 +ax -y^2)·(a^2 +ax +y^2)

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)