Question

Factorise x⁴+4
(Please give step by step Explanation)​

Answer 1

Answer:Good question,Here is your perfect answer!

= x⁴ + 4

Add and subtract 4x² = x⁴ + 4x² +4 - 4x²= (x²)² + 2(2)(x²) + 2² - 4x²= (x² +2)² - 4x²= (x² +2)² - (2x)²= (x² + 2 - 2x) (x² + 2 + 2x)= (x² - 2x +2) (x² + 2x + 2).I gave the answer first so please mark it the brainliest

Answer 2

Answer:

Question :-

${x}^{4} + 4$

Solution :-

We have to add and subtract 4x^2

$= {x}^{4} + 4 {x}^{2} + 4 - 4 {x}^{2} \\ \\ = ( {x}^{2})^{2} + 2(2)( {x}^{2} ) + 2^{2} - 4 {x}^{2} \\ \\ = ( {x}^{2} + 2)^{2} - 4 {x}^{2} \\ \\ = ( {x}^{2} + 2)^{2} - (2x)^{2} \\ \\ = ( {x}^{2} + 2 - 2x)( {x}^{2} + 2 + 2x) \\ \\ = ( {x}^{2} - 2x + 2)( {x}^{2} + 2x + 2)$

Therefore, the required answer is -->

$= ( {x}^{2} - 2x + 2)( {x}^{2} + 2x + 2)$

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