Question

factorise:- x^4 +1/x^4 +1​

Answer 1

$\bf\large\underline\blue{Question:-}$

• Factorise $x^{4} + \frac{1}{x^{4}}$

$\bf\large\underline\blue{Solution:-}$

${x}^{4} + \frac{1}{ {x}^{4} } + 1$

Can be written as

${x}^{4} + \frac{1}{ {x}^{4} } + 2 - 1$

$= {(x^{2} )}^{2} + \frac{1}{ ({x ^{2} })^{2} } + 2 \times {x}^{2} \times \frac{1}{ {x}^{2} } - 1$

$= {( {x}^{2} + \frac{1}{ {x}^{2} } ) }^{2} - {(1)}^{2}$

$= ( {x}^{2} + \frac{1}{ {x}^{2} } + 1)( {x}^{2} + \frac{1}{ {x}^{2} } - 1)$

$\bf\large\underline\blue{Answer:-}$

• $( {x}^{2} + \frac{1}{ {x}^{2} } + 1)( {x}^{2} + \frac{1}{ {x}^{2} } - 1)$

Answer 2

Answer:

the answer of this question is

Step-by-step explanation:

x⁴+1/x⁴+1

2x⁴+1 is correct answer of this question