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 Algebraic Identities 40 Flashcards |
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What is the identity for the product of the sum and difference of two terms? |
Card: 1 / 40 |
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(x + y)(x - y) = x² - y² |
Card: 2 / 40 |
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Fill in the blank: The expansion of (a + b)² is ______. |
Card: 3 / 40 |
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A² + 2ab + b² |
Card: 4 / 40 |
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True or False: The identity (x - a)(x - b) results in a positive middle term. |
Card: 5 / 40 |
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False. The middle term is negative: x² - (a + b)x + ab. |
Card: 6 / 40 |
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Riddle: I am a special product that helps you find the difference between two squares. What am I? |
Card: 7 / 40 |
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The difference of squares identity |
Card: 8 / 40 |
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What is the result of multiplying (x + 3)(x + 5) using the identity for binomials? |
Card: 9 / 40 |
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X² + 8x + 15 |
Card: 10 / 40 |
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Fill in the blank: The formula for the cube of a binomial (a - b)³ is ______. |
Card: 11 / 40 |
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A³ - 3a²b + 3ab² - b³ |
Card: 12 / 40 |
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True or False: The identity (a + b)² = a² + b² - 2ab is correct. |
Card: 13 / 40 |
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False. The correct identity is (a + b)² = a² + 2ab + b². |
Card: 14 / 40 |
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Riddle: I am a method to expand (a + b) three times. What am I? |
Card: 15 / 40 |
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Cubing a binomial |
Card: 16 / 40 |
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What is the identity used to find (x + a)(x - b)? |
Card: 17 / 40 |
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X² + (a - b)x - ab |
Card: 18 / 40 |
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Fill in the blank: The expansion of (a - 1/a)³ is ______. |
Card: 19 / 40 |
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A³ - 1/a³ - 3a(a - 1/a) |
Card: 20 / 40 |
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True or False: The result of (x - a)(x + b) contains the term -ab. |
Card: 21 / 40 |
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True. |
Card: 22 / 40 |
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What is the key identity for squaring the expression (a - b)? |
Card: 23 / 40 |
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(a - b)² = a² - 2ab + b² |
Card: 24 / 40 |
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Fill in the blank: The identity for the sum of two cubes is ______. |
Card: 25 / 40 |
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A³ + b³ = (a + b)(a² - ab + b²) |
Card: 26 / 40 |
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Riddle: I am the result of (x + 4)(x - 4). What am I? |
Card: 27 / 40 |
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X² - 16 |
Card: 28 / 40 |
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What do you obtain when you expand (3x + 2y)(4x + 5y)? |
Card: 29 / 40 |
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12x² + 23xy + 10y² |
Card: 30 / 40 |
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Fill in the blank: The expansion of (a + b - c)² is ______. |
Card: 31 / 40 |
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A² + b² + c² + 2ab - 2bc - 2ca |
Card: 32 / 40 |
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True or False: (x + a)(x + b) results in a four-term polynomial. |
Card: 33 / 40 |
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False. It results in a three-term polynomial. |
Card: 34 / 40 |
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What is the expanded form of (a + 1/a)²? |
Card: 35 / 40 |
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A² + 1/a² + 2 |
Card: 36 / 40 |
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Riddle: I am used to simplify the multiplication of (x + 2)(x + 3). What am I? |
Card: 37 / 40 |
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The identity for multiplying binomials |
Card: 38 / 40 |
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What is the identity for the product of the sum and difference of two terms? A) (x + y)(x - y) = x² + y² B) (x + y)(x - y) = x² - y² C) (x + y)(x - y) = xy D) (x + y)(x - y) = x² + 2xy |
Card: 39 / 40 |
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B) (x + y)(x - y) = x² - y² |
Card: 40 / 40 |
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Completed! Keep practicing to master all of them. |
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