Question

factorise the following

Answer 1

using a2-2ab+b2 =(a-b)2,factorise the expression
Ans:=(x-√5)2

the expression is equal to (x-√5)^2



Hope this helps

Answer 2

using splitting the middle term method
${x}^{2} - \sqrt{5} x - \sqrt{5} x + x$
$x(x - \sqrt{5} ) + \sqrt{5} (x - \sqrt{5} )$
$(x + \sqrt{5} )(x - \sqrt{5} ) = 0$
$x = - \sqrt{5} \: \: or \: x = \sqrt{5}$
hope this helps