# Chapter 8 - Polynomials and Factoring - Chapter Test - Page 527: 31

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.

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