Question

find factorisation

x⁴+4​

Answer 1

= 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).

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Answer 2

Answer:

$\huge\mathbb{SOLUTION}$

${x}^{4} + 4 \\ { ({x}^{2}) }^{2} + { ({2}^{2} )}^{2} \\ we \: have \: > {a}^{2} + {b}^{2} = (a + b)( {a}^{2} + {b}^{2} - ab) \\ so \\ (x + 2)( {x}^{2} + 4 - 2x) = {x}^{4} + 4$