Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 33

$4u^2 + 4uv + v^2$

$Multiply$ $the$ $algebraic$ $expressions$ $using$ $a$ $Special$ $Product$ $Formula$ $and$ $simplify:$ $(2u+v)^2$ Use the Square of a Sum Product Formula: $(A+B)^2 = A^2+2AB+B^2$ $(2u+v)^2$ = $(2u)^2 + (2\times2u\times v) + v^2$ $= 4u^2 + 4uv + v^2$