What is factor 2x^2+4x+2+x+1 ?

The solution to factor 2x^2+4x+2+x+1 is (x+1)(2x+3)

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factor 2x^2+4x+2+x+1

factor

2 x^{2} + 4 x + 2 + x + 1

(x + 1) (2 x + 3)

Solution steps

2 x^{2} + 4 x + 2 + x + 1

Group like terms

= 2 x^{2} + 4 x + x + 2 + 1

Add similar elements:

4 x + x = 5 x

= 2 x^{2} + 5 x + 2 + 1

Add the numbers:

2 + 1 = 3

= 2 x^{2} + 5 x + 3

Break the expression into groups

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

Factor out

2 x

from

2 x^{2} + 2 x : 2 x (x + 1)

Factor out

3

from

3 x + 3 : 3 (x + 1)

= 2 x (x + 1) + 3 (x + 1)

Factor out common term

x + 1

= (x + 1) (2 x + 3)

6.4

2 m^{2} n - mn p - 6 m + 3 p

(x + 3)^{2} - 7

(x + 3)^{2} - 5

(x + 3)^{2} - 2

What is factor 2x^2+4x+2+x+1 ?
The solution to factor 2x^2+4x+2+x+1 is (x+1)(2x+3)