(x-1).√(x^2-4)

Question

`(x-1).√(x^2-4)`

Answer 1

`\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) √((x - 2)(x + 2)) }} \\ \\`