Question

................... Factorize: x^4 + 4​

Answer 1

Answer:

x^4 + 4

Adding and subtracting 4x^2, we get

x^4+ 4x^2- 4x^2+ 4

= (x^2 + 2)^2. - (2x)^2

= (x^2 + 2x + 2)(x^2 - 2x + 2)

As a^2 - b^2 = (a+b)(a-b)

Answer 2

Answer:

x^4 + 4

Adding and subtracting 4x^2, we get

x^4+ 4x^2- 4x^2+ 4

= (x^2 + 2)^2. - (2x)^2

= (x^2 + 2x + 2)(x^2 - 2x + 2)

As a^2 - b^2 = (a+b)(a-b)

Hope it helps!!!

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