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 = 5 x

= x^{2} + 5 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)

- 15 x + 6 = - 10 x + 16

\frac{9}{10} - \frac{7}{10}

9 x + 3 - 5 x \geq 8 - 2 x + 1

\frac{2 π}{0.8}

x^{3} + 3 x^{2} - 25 x + 21