Question

$(x-1).\sqrt{x^2-4}$

Answer 1

Answer:

$\dashrightarrow \: { \tt{(x - 1) \sqrt{( {x}^{2} - 4) } }} \\ \\ \dashrightarrow \: { \tt{(x - 1) \sqrt{( {x}^{2} - {2}^{2} )} }}$

• from difference of two squares quadratic law:

${ \boxed{ \rm{( {a}^{2} - {b}^{2} ) = (a - b)(a + b) }}}$

• a is x and b is 2

$\dashrightarrow \: { \tt{(x - 1) \sqrt{(x - 2)(x + 2)} }}$