Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 43

$ y^3 + 6y^2 + 12y + 8$

$Multiply$ $the$ $algebraic$ $expressions$ $using$ $a$ $Special$ $Product$ $Formula$ $and$ $simplify:$ $(y+2)^3$ Use the Cube of a Sum Product Formula: $(A+B)^2 = A^3 + 3A^2B + 3AB^2 + B^3$ $(y+2)^3$ = $y^3$ + $(3\times y^2 \times 2)$ + $(3\times y \times 2^2)$ + $2^3$ $= y^3 + 6y^2 + 12y + 8$