Question

Factorise : (x²-2x)²-11(x²-2x)+24​

Answer 1

SOLUTION

Put x^2 -2x=y

$= > so \\ = > (x {}^{2} - 2x) { }^{2} - 11( {x}^{2} - 2x) + 24 \\ = > {y}^{2} - 11y + 24 \\ = > {y}^{2} - 8y - 3y - 24 \\ = > y(y - 8) - 3(y - 8) \\ = > (y - 8)(y - 3) \\ = > ( {x}^{2} - 2x - 8)( {x}^{2} - 2x - 3) \\ = > ( {x}^{2} - 4x + 2x - 8)( {x}^{2} -3x + x - 3) \\ = > (x + 2)(x - 4)(x - 3)(x + 1)$

hope it helps ✔️