Question

factorise:
1) x²+2x-a²-1/a²-1
2) (x+1/x)²-7(x-1/x)+8

pls someone ans it please...
I need it urgently...pls if u don't the ans of anyone of them pls write the correct answer of the other one...
and again irrelevant answers will be reported...​

Answer 1

✪ᴀɴsᴡᴇʀ✪

1.

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

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

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

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

$[x + 1 + a + \frac{1}{a}][x + 1 -( a + \frac{1}{a} )]$

$[x + (1 + a + \frac{1}{a})][x + (1 - a - \frac{1}{a})]$

2.

${(x + \frac{1}{x} )}^{2} - 7(x - \frac{1}{x} ) + 8$

$( {x}^{2} + \frac{1}{ {x}^{2} } + 2) - 7(x - \frac{1}{x}) + 8$

$( {x}^{2}+ \frac{1}{ {x}^{2} } - 2) - 7(x - \frac{1}{x}) + 12$

${(x - \frac{1}{x} )}^{2} - 7(x - \frac{1}{x} ) + 12$

${(x - \frac{1}{x} )}^{2} - 3(x - \frac{1}{x} ) - 4(x - \frac{1}{x}) + 12$

$(x - \frac{1}{x} )(x - \frac{1}{x} - 3) - 4(x - \frac{1}{x} - 3)$

$(x - \frac{1}{x} - 3)(x - \frac{1}{x} - 4)$