70 CHAPTER R Review of Basic Concepts 74. 27 - r3 75. 125x3 - 27 76. 8m3 - 27n3 77. 27y9 + 125z6 78. 27z9 + 64y12 79. 1r + 623 - 216 80. 1b + 323 - 27 81. 27 - 1m+ 2n23 82. 125 - 14a - b23 Factor each polynomial. See Example 7. 83. 713k - 122 + 2613k - 12 - 8 84. 614z - 322 + 714z - 32 - 3 85. 91a - 422 + 301a - 42 + 25 86. 415x + 722 + 1215x + 72 + 9 87. 1a + 123 + 27 88. 1x - 423 + 64 89. 13x + 423 - 1 90. 15x - 223 - 8 91. m4 - 3m2 - 10 92. a4 - 2a2 - 48 93. 12t4 - t2 - 35 94. 10m4 + 43m2 - 9 Factor by any method. See Examples 1–7. 95. 4b2 + 4bc + c2 - 16 96. 12y - 122 - 412y - 12 + 4 97. x2 + xy - 5x - 5y 98. 8r2 - 3rs + 10s2 99. p41m- 2n2 + q1m- 2n2 100. 36a2 + 60a + 25 101. 4z2 + 28z + 49 102. 6p4 + 7p2 - 3 103. 1000x3 + 343y3 104. b2 + 8b + 16 - a2 105. 125m6 - 216 106. q2 + 6q + 9 - p2 107. 64 + 13x + 223 108. 216p3 + 125q3 109. 1x + y23 - 1x - y23 110. 100r2 - 169s2 111. 144z2 + 121 112. 13a + 522 - 1813a + 52 + 81 113. 1x + y22 - 1x - y22 114. 4z4 - 7z2 - 15 Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 115. 4k-1 + k-2 116. y-5 - 3y-3 117. 4t-2 + 8t-4 118. 5r-6 - 10r-8 119. 9z-1/2 + 2z1/2 120. 3m2/3 - 4m-1/3 121. p-3/4 - 2p-7/4 122. 6r-2/3 - 5r-5/3 123. -4a-2/5 + 16a-7/5 124. -3p-3/4 - 30p-7/4 125. 1p + 42-3/2 + 1p + 42-1/2 + 1p + 421/2 126. 13r + 12-2/3 + 13r + 121/3 + 13r + 124/3 127. 213x + 12-3/2 + 413x + 12-1/2 + 613x + 121/2 128. 715t + 32-5/3 + 1415t + 32-2/3 - 2115t + 321/3 129. 4x12x + 32-5/9 + 6x212x + 324/9 - 8x312x + 3213/9 130. 6y314y - 12-3/7 - 8y214y - 124/7 + 16y14y - 1211/7 131. Concept Check Are there any conditions under which a sum of squares can be factored? If so, give an example.
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