3c+2-(9c2-3c-6)

Apply the distributive property.

3c+2-(9c2)-(-3c)–6

Multiply 9 by -1.

3c+2-9c2-(-3c)–6

Multiply -3 by -1.

3c+2-9c2+3c–6

Multiply -1 by -6.

3c+2-9c2+3c+6

3c+2-9c2+3c+6

Add 3c and 3c.

6c+2-9c2+6

Add 2 and 6.

6c-9c2+8

Reorder terms.

-9c2+6c+8

Factor -1 out of -9c2+6c+8.

Factor -1 out of -9c2.

-(9c2)+6c+8

Factor -1 out of 6c.

-(9c2)-(-6c)+8

Rewrite 8 as -1(-8).

-(9c2)-(-6c)-1(-8)

Factor -1 out of -(9c2)-(-6c).

-(9c2-6c)-1(-8)

Factor -1 out of -(9c2-6c)-1(-8).

-(9c2-6c-8)

-(9c2-6c-8)

Factor.

Factor by grouping.

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=9⋅-8=-72 and whose sum is b=-6.

Factor -6 out of -6c.

-(9c2-6(c)-8)

Rewrite -6 as 6 plus -12

-(9c2+(6-12)c-8)

Apply the distributive property.

-(9c2+6c-12c-8)

-(9c2+6c-12c-8)

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

-((9c2+6c)-12c-8)

Factor out the greatest common factor (GCF) from each group.

-(3c(3c+2)-4(3c+2))

-(3c(3c+2)-4(3c+2))

Factor the polynomial by factoring out the greatest common factor, 3c+2.

-((3c+2)(3c-4))

-((3c+2)(3c-4))

Remove unnecessary parentheses.

-(3c+2)(3c-4)

-(3c+2)(3c-4)

-(3c+2)(3c-4)

Factor 3c+2-(9c^2-3c-6)