Question

factories it x^4+4
please do it fast​

Answer 1

Answer:

$\huge\underline{ \underline{ \red {your \: \: \: answer}}}$

Step-by-step explanation:

$\bf\ {x}^{4} + 4\\ \\ \bf\ \mapsto {(( {x}^{2} )}^{2} + {2}^{2} )\\ \\ \bf\red{{x}^{2} + {y}^{2} = {(x - y})^{2} + 2xy} \\ \\ \bf\ \leadsto ( {x}^{2} - 2 )^{2} + 2 {x}^{2}y \\ \\ \bf\ \leadsto{ \underline { {x}^{4} + 4 - 4{x}^{2} + 2 {x}^{2}y }}$

Answer 2

Answer:

$(x + 1+i)(x-1-i)(x+i-1)(x-i+1)$

Step-by-step explanation:

$\sqrt{i} = z\\z = e^{(i\frac{\pi}{2})\frac{1}{2}} \\\sqrt{i} = \frac{1}{\sqrt2}(1+i)$

Now,

$(x^4 +4 ) = (x^2 +2i)(x^2 -2i)\\= (x+\sqrt{2i})(x- \sqrt{2i})(x+ i\sqrt{2i})(x- i\sqrt{2i})\\= (x + 1+i)(x-1-i)(x+i-1)(x-i+1)$