What is factor 6(3x+4)^2+(3x+4)-1 ?

The solution to factor 6(3x+4)^2+(3x+4)-1 is 3(9x+11)(2x+3)

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factor 6(3x+4)^2+(3x+4)-1

factor

6 (3 x + 4)^{2} + (3 x + 4) - 1

3 (9 x + 11) (2 x + 3)

Solution steps

6 (3 x + 4)^{2} + (3 x + 4) - 1

Break the expression into groups

= (6 (3 x + 4)^{2} - 2 (3 x + 4)) + (3 (3 x + 4) - 1)

Factor out

2 (3 x + 4)

from

6 (3 x + 4)^{2} - 2 (3 x + 4) : 2 (3 x + 4) (3 (3 x + 4) - 1)

= 2 (3 x + 4) (3 (3 x + 4) - 1) + (3 (3 x + 4) - 1)

Factor out common term

3 (3 x + 4) - 1

= (3 (3 x + 4) - 1) (2 (3 x + 4) + 1)

Factor

2 (3 x + 4) + 1 : 3 (2 x + 3)

= 3 (3 (3 x + 4) - 1) (2 x + 3)

Expand

3 (3 x + 4) - 1 : 9 x + 11

= 3 (9 x + 11) (2 x + 3)

d H (x)

2 + 2 b + 3 a

- ln (4 - z^{2}) + c

(x^{3} + 64) + (y^{3} + 8)

What is factor 6(3x+4)^2+(3x+4)-1 ?
The solution to factor 6(3x+4)^2+(3x+4)-1 is 3(9x+11)(2x+3)