Question

What is equivalent to x^2-5x+6

Answer 1

`=\left(x-2\right)\left(x-3\right)\\`

Step-by-step explanation:

Given:

`x^2-5x\:+6`

To find:

Equivalent to x^2-5x+6

Step-by-step explanation:

`x^2-5x+6\\=\left(x^2-2x\right)+\left(-3x+6\right)\\=x\left(x-2\right)-3\left(x-2\right)\\\mathrm{Factor\:out\:common\:term\:}x-2\\=\left(x-2\right)\left(x-3\right)`

Final Answer:

(x-2)(x-3)