Question

Factorise x square - 2 x-11 x square - 2 x + 24

Answer 1

Answer:

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Answer 2

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 )

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