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

Question

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

Answer 1

(x-4)/(x-3)

Explanation:

`{x}^(2) - 4x + 16 = (x - 4)(x - 4)`

`{x}^(2) - 7x + 12 = (x - 4)(x - 3)`

Therefore, on dividing, result is (x-4)/(x-3)

Answer 2

`(x^(2) -8x+16)/(x^(2) -7x+12)=(x^(2) -2.4.x+4^(2) )/(x^(2) -3x-4x+12)=((x-4)^(2) )/(x(x-3)-4(x-3))=((x-4)^(2) )/((x-4)(x-3))=(x-4)/(x-3)`

Explanation: