Respuesta :

12d^2 + 4d - 1

Check if splitting the middle term is possible.

List factors of -12.

1 * -12

-1 * 12

2 * -6

-2 * 6 (these digits satisfy the criteria for splitting the middle term.)

Split the middle term.

12d^2 - 2d + 6d - 1

Factor binomials.

2d(6d - d) + 1(6d - d)

Rearrange binomials.

2d + 1(6d - 2)

(6d - 2)(2d + 1) is the fully factored form of the original expression.

[tex]12d^2+4d-1=\\\\12d^2+6d-2d-1=\\\\6d(2d+1)-1(2d+1)=\\\\(6d-1)(2d+1)[/tex]