Consider #10;given the given expression, #10; #10; #160; ⇒1x^4 1 #10; #10; #160; ⇒1( x^2 #10;)^2 1 #10; #10; #160; ⇒1( x^ ...

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Solving Using Quadratic Formula When D>0

Solve:- 1x4 ...

Question

Solve:-
$\frac{1}{x^{4} - 1}$

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Solution

Consider given the given expression,

$\Rightarrow \frac{1}{x^{4} - 1}$

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

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

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

Hence, this is the answer.

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