Question

factorise the following x4+4

Answer 1

Answer

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Answer 2

Answer: (x² + 2x + 2)(x² - 2x + 2)

Step-by-step explanation:

Given : $x^{4} + 4$

To find : To factorise the equation

Solution :

Let add and subtract $4x^{2}$ in the given equation.

⇒ $x^{4} + 4 + 4x^{2} - 4x^{2}$

⇒ $(x^{4} + 4 + 4x^{2} ) - 4x^{2}$

⇒ $(x^{2} + 2)^{2} - (2x)^{2}$

⇒ $(x^{2} + 2 + 2x)(x^{2} + 2 - 2x)$

∴ $(x^{2} + 2x + 2)(x^{2} - 2x + 2)$ These are the factors of the expression .

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