Select the correct factorised form of the following quadratic expression: 𝑥2−5𝑥+6x 2 −5x+6

The factorised form of the quadratic expression x^2 - 5x + 6 is (x - 2)(x - 3).

Here's the step-by-step process:

1. Identify the coefficients in the quadratic expression. In this case, a = 1 (coefficient of x^2), b = -5 (coefficient of x), and c = 6 (constant term).

2. Look for two numbers that multiply to give ac (in this case, 1*6 = 6) and add to give b (in this case, -5). The numbers that satisfy these conditions are -2 and -3.

3. Write the expression in its factorised form, using the numbers found in step 2. The factorised form is (x - 2)(x - 3).