Question

(x ²-5 x + 6) ÷ ( x -3)​

Answer 1

Answer:

(x-2)

Step-by-step explanation:

(x²-5x+6) ÷ (x-3)

=(x²-3x-2x+6) ÷ (x-3)

={x(x-3) -2(x-3)} ÷ (x-3)

=(x-2)(x-3) ÷ (x-3)

=(x-2)

Answer 2

Answer:

x-2

Step-by-step explanation:

Given that,

(x^2 - 5x + 6)/(x-3)

Consider, numerator

Factorise the numerator

x^2 - 5x + 6  (since factors of 6 are 2&3)

Splitting '5x' into 2x & 3x

=> x^2 - 2x - 3x + 6

=> x(x-2)-3(x-2)

=> (x-3)(x-2)

Now, substitute this in the given question

=> (x-3)(x-2)/(x-3)

=> (x-2)

Therefore,

(x^2 - 5x + 6)/(x-3) = x-2

HOPE THIS WOULD BE HELPFUL FOR YOU