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

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

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

factor

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

(x + 2) (x + 3)

Solution steps

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

Add similar elements:

3 x + 2 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)

- 2 x^{2} + 5 x + 10 + (- 7) x - 3

- (5 v - 6.2 w) - 3

7 x^{2} + 4 x - x^{2}

3 p (6 p^{2} + 2 p - 5)

\frac{0. 9 ^{2} - 1}{0.9 - 1}