Algebra Demystified 2nd Ed

126 algebra De mystif ieD DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 PRACTICE Write the expression as ...

Chapter 5 e X P O N e N T S a N D r O O T S 127 DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 TABLE 51 E ...

128 algebra De mystif ieD DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 Quiz Simplify ()5 5 x^3 x. a. x^ ...

Chapter 5 eX P O Ne N T S a N D r O O T S 129 DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 Simplify ()3 ...

130 algebra De mystif ieD DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 9. 4 32 1 ()xx++^2 ()yx() 32 ()xy ...

Chapter 5 eX P O Ne N T S a N D r O O T S 131 DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 Rationalize ...

132 algebra De mystif ieD DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5 34 y = a.^4 3 2 y y b.^4 (^3) y ...

133 chapter 6 Factoring and the Distributive Property Distributing multiplication over addition (and subtraction) and factoring ...

134 algebra De mystif ieD The distributive property of multiplication over addition, a(b + c) = ab + ac, says that we can first ...

Chapter 6 FaCtoring and the distributive ProPerty 135 ✔SOLUTIONS 3(14 − 2) = 3(14) − 3(2) = 42 − 6 = 36 2.^1 2 (6 + 8) =^1 2 ( ...

136 algebra De mystif ieD EXAMPLES Use the distributive property to rewrite the expression. −(3 + x) = −3 − x −(−2 + y) = 2 − y ...

Chapter 6 FaCtoring and the distributive ProPerty 137 PRACTICE Use the distributive property to rewrite the expression. −2(16 + ...

138 algebra De mystif ieD 77 xy xy–=xy–= 17 xy()− 16 xy= xy 2 3 4 3 4 5 2 2 3 3 4 4 5 2 xx^22 –+yx+=xy  ++xx^2 –+ y=     ...

Chapter 6 FaCtoring and the distributive ProPerty 139 14x + 8 − (2x − 4) = 14x + 8 − 2x + 4 = 14x − 2x + 8 + 4 = (14 − 2)x + 12 ...

140 algebra De mystif ieD 4 21 3 4 1 21 3 4 1 3 3 21 3 43 − + + =−+ + =⋅+ + − + + = +− x x x x x x x x ()x ( 221 3 4122 1 3 211 ...

Chapter 6 FaCtoring and the distributive ProPerty 141 3. 34 5 2 34 5 2 1 34 5 2 1 5 5 x 342 x x x x x x x − xx + −= − + −= − + − ...

142 algebra De mystif ieD EXAMPLES Completely factor the expression. 4 + 6x Each term is divisible by 2, so factor 2 from 4 and ...

Chapter 6 FaCtoring and the distributive ProPerty 143 ✔SOLUTIONS 4x − 10y = 2 · 2x − 2 · 5y = 2(2x − 5y) 3x + 6y − 12 = 3 · x + ...

144 algebra De mystif ieD PRACTICE Factor a negative quantity from the expression. 28xy^2 − 14x = 4x + 16xy = −18y^2 + 6xy = 25 ...

Chapter 6 FaCtoring and the distributive ProPerty 145 EXAMPLES Completely factor the expression. 2 x(3x + y) + 5 y(3x + y) We ca ...