Question

Find the hcf of (x^2-3x+2) , (x^2-4x+3)

Answer 1

Hey mate ☺️

$x ^{2} - 3x + 2 \\ {x}^{2} - 2x - 1x + 2 \\ {x}^{2} - 1x - 2x + 2 \\ x(x - 1) - 2(x - 1) \\ (x - 2) \: (x - 1)$

${x}^{2} - 4x + 3 \\ {x}^{2} - 1x - 3x + 3 \\ x(x - 1) - 3(x - 1) \\ (x - 1) \: (x - 3)$

In both

$(x - 1)is \: common$

Hence (x - 1) is H. C. F. ...

Hope it helps you ☺️✌️✌️