Answer
49
Work Step by Step
$(4y+7)^{2}$
Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets).
(4y)(4y) + 7(4y) + 7(4y) + (7)(7)
$4y^{2}$ + 28y + 28y + 49
We add the 28y and 28y to get the simplified answer.
$4y^{2}$ + 56y + 49
Thus the last term is 49 and thus the missing number is 49.
