Question

`(x^(2)-8x+16 )/(x^(2)-7x+12 )`

Answer 1

`(x - 4)/(x - 3)`

Explanation:

`\frac{ {x}^(2) - 8x + 16 }{ {x}^(2) - 7x + 12}`

Lets split the numerator and denominator.

`= > \frac{ {x}^(2) - 4x - 4x + 16}{ {x}^(2) - 3x - 4x + 12}`

Lets factorise the numerator and denominator.

`= > (x(x - 4) - 4(x - 4))/(x(x - 3) - 4(x - 3))`

`= > ((x - 4)(x - 4))/((x - 3)(x - 4))`

Cancelling x - 4 from numerator and denominator ,

`= > (x - 4)/(x - 3)`