Question

How can b^2+9b+14 be re-written?
1) (b+7) (b-7)
2) (b-7) (b-2)
3) (b+7) (b-2)
4) (b+7) (b+2)

Answer 1

$b^2+9b+14 =\\ \\=b^2+9b-2b + 2b +14 =\\ \\ =b^2+7b +2b +14 = \\ \\ = b(b+7)+2(b+7)=\\ \\=(b+7)(b+2) \\ \\ Answer: \ 4. ) \ (b+7)(b+2)$