Question

Factorise: (x-2)²+9(x-2)=___​

Answer 1

Answer:

x2-4x+4+9x-18

x2 +5x-14

Answer 2

Step-by-step explanation:

$( {x - 2)}^{2} + 9(x - 2) \\ {x}^{2} - 4x - 4 + 9x -1 8 \\ {x}^{2} + 5x - 14 = 0 \\ {x}^{2} + 7x - 2x - 14 = 0 \\ x(x + 7) - 2(x + 7) = 0 \\ (x + 7)(x - 2) = 0 \\ x + 7 = 0 \: \: \: or \: \: \: x - 2 = 0 \\ x = - 7 \: \: \: or \: \: \: x = 2$