Question

8. Factorise : (x² - 2x)2 - 11(x2- 2x) + 24.​

Answer 1

Answer:

Hlo frnd here is your answer.

( x² - 2x )² - 11 ( x² - 2x ) + 24

Let a = ( x² - 2x )

= y² - 11y + 24

= y² - 8y - 3y + 24

= y ( y - 8 ) -3 ( y - 8)

= ( y - 8 ) ( y - 3 )

Putting value of y

= ( x² - 2x - 8 ) ( x² - 2x - 3 )

= ( x² - 4x + 2x - 8 ) ( x² - 3x + 1x - 3)

= [ x ( x- 4 ) +2 ( x - 4 ) ] [x ( x - 3 ) +1 ( x - 3 )]

= ( x - 4 ) ( x + 2 ) ( x - 3 ) ( x + 1 )

Hope it helps

Have a GOOD DAY