Question

(x2 – 2x)2 – 23(x2 – 2x) + 120.​

Answer 1

Answer:

Given:- ( x² - 2x )² - 23(x² - 2x ) + 120

 Let a = x² - 2x

      = a² - 23a + 120

     = a² -15a - 8a + 120

      = a( a - 15 ) - 8 ( a - 15 )

      = ( a - 15 )( a - 8 )

      = ( x² - 2x - 15 ) ( x² - 2x - 8 )

      = [ x2 + 3x - 5x - 15 ] ( x² -4x + 2x - 8 )

      = [ x ( x + 3 ) - 5 ( x + 3 ) ] [ x ( x - 4 ) + 2(x - 4 )]

      = ( x + 3 )( x - 5 ) ( x - 4 ) ( x + 2 )

      = ( x - 5 ) ( x - 4 ) ( x + 2 ) ( x + 3 )

Hence are  :- ( x - 5 ) ( x - 4 ) ( x + 2 ) ( x + 3 )

Step-by-step explanation: