(1 - x)(6x - 8) + 16 + 9x2
Multiply out the parenthesees.
6x - 8 - 6x2 + 8x + 16 + 9x2
Combine like terms.
14x + 8 + 3x2
Rearrange.
3x2 + 14x + 8
To factor this, split the middle term.
What two numbers add up to 14 and multiply to (3)(8) = 24 ? → 12 and 2
3x2 + 12x + 2x + 8
Factor a 3x out of the first two terms, and factor a 2 out of the last two terms.
3x(x + 4) + 2(x + 4)
Factor a (x + 4) out of both terms.
(x + 4)(3x + 2)