What is factor x^2-2x+3x-6 ?

The solution to factor x^2-2x+3x-6 is (x-2)(x+3)

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factor x^2-2x+3x-6

factor

x^{2} - 2 x + 3 x - 6

(x - 2) (x + 3)

Solution steps

x^{2} - 2 x + 3 x - 6

Add similar elements:

- 2 x + 3 x = x

= x^{2} + x - 6

Break the expression into groups

= (x^{2} - 2 x) + (3 x - 6)

Factor out

x

from

x^{2} - 2 x : x (x - 2)

Factor out

3

from

3 x - 6 : 3 (x - 2)

= x (x - 2) + 3 (x - 2)

Factor out common term

x - 2

= (x - 2) (x + 3)

\frac{4}{4} - \frac{3}{4}

- \frac{1}{2} \cdot \frac{1}{2}

- \frac{1}{3} + y = - \frac{4}{5}

7 x - 14

(x + 9)^{2} = - 4