1. Multiplying Polynomials

2. Multiply monomial by polynomial

10. Multiply polynomial by polynomial

28. Multiply two binomials

41. Multiply the Sum and the Difference of Two Terms

52. Squaring a Binomial

67. 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

68. 18a²b – 2ab 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

69. 4a² – 16 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

70. 4a² – 16 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

71. n² + 36 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

72. n² + 36 Prime! 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

73. 25a² + 10ab + b² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

74. 25a² + 10ab + b² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

75. 25a² + 10ab + b² = ( )² + 2( )( ) +( )² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

76. 25a² + 10ab + b² = (5a)² + 2( )( ) +(b)² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

77. 25a² + 10ab + b² = (5a)² + 2(5a)(b) +(b)² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

78. 25a² + 10ab + b² = (5a)² + 2(5a)(b) +(b)² = (5a + b)² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

79. 8a³ + 125 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

80. 8a³ + 125 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

81. 8a³ + 125 = = (2a)³ + (5)³ 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

82. 8a³ + 125 = = (2a)³ + (5)³ =(2a + 5)(4a² - 10a + 25) 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

83. 8a³ + 125 = = (2a)³ + (5)³ =(2a + 5)(4a² - 10a + 25) (2a)² (5)² 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

84. 8a³ + 125 = = (2a)³ + (5)³ =(2a + 5)(4a² - 10a + 25) (2a)² (5)² (2a)(5) 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

85. 8a³ + 125 = = (2a)³ + (5)³ =(2a + 5)(4a² - 10a + 25) 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

86. 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

87. 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

88. x² - 5x +6 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

89. x² - 5x +6 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

90. x² - 5x +6 = (x )(x ) 6 -5 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

91. x² - 5x +6 = (x )(x ) 6 - 2 - 3 -5 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

92. x² - 5x +6 = (x – 2)(x – 3) 6 - 2 - 3 -5 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

93. xy – 6x +7y – 42 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

94. xy – 6x +7y – 42 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

95. xy – 6x +7y – 42 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

96. x 6x² - 7x - 5 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

97. x 6x² - 7x - 5 = BOX! Always factor completely!

98. x 6x² - 7x - 5 =

99. x 6x² - 7x - 5 = 6x² - 5

100. x 6x² - 7x - 5 = 3x 2x 6x² - 5

101. 6x² - 7x - 5 = 3x - 5 2x 1 6x² - 5

102. x 6x² - 7x - 5 = 3x - 5 2x 1 6x² - 10x 3x - 5

103. 6x² - 7x - 5 = 3x - 5 2x 1 - 10x + 3x = - 7x 6x² - 10x 3x - 5

104. 6x² - 7x - 5 = (2x + 1)(3x - 5) 3x - 5 2x 1 - 10x + 3x = - 7x 6x² - 10x 3x - 5

105. (3x - 5)² - 6(3x - 5) + 9 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+ ab + b²) a³ + b³ = (a + b)(a²- ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!

106. (3x - 5)² - 6(3x - 5) + 9 = 1.GCF (if any) 2.a² - b² = (a - b)(a + b) a³ - b³ = (a - b)(a²+2ab + b²) a³ + b³ = (a + b)(a²-2ab + b²) 3. a² + 2ab + b² = (a + b)² a² - 2ab + b² = (a - b)² x² + bx + c = (x + m)(x + n), where mn = c, and m + n = b 4.If 4 or more terms, try to factor by Grouping Always factor completely!