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2 years ago

Factorize: a^4+2xa³+a²x²-y^4

Mathematics

2 answers:

Art [367]2 years ago

5 0

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)

mart [117]2 years ago

4 0

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)

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Step-by-step explanation:

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