Answer
$6x + 22$
Work Step by Step
In step 1, FOIL both sets of parentheses. In steps 2 and 3, add and subtract like terms. Then we will have the final answer.
$(x+3)(x+9) - (x+1)(x+5)$
$= x^{2} + 9x + 3x + 27 - x^{2} + 6x + 5$
$= x^{2} + 12x + 27 - x^{2} + 6x + 5$
$= 6x + 22$
