Sum and Difference of Cubes

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for factoring the sum of cubes?
Back
a³ + b³ = (a + b)(a² - ab + b²)
Tags
CCSS.HSA.APR.C.4
2.
FLASHCARD QUESTION
Front
What is the formula for factoring the difference of cubes?
Back
a³ - b³ = (a - b)(a² + ab + b²)
Tags
CCSS.HSA.APR.C.4
3.
FLASHCARD QUESTION
Front
Factor the sum of cubes: 8 + 27.
Back
(2 + 3)(4 - 6 + 9) = (5)(7)
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
Factor the difference of cubes: 64 - 27.
Back
(4 - 3)(16 + 12 + 9) = (1)(37)
Tags
CCSS.HSA.APR.C.4
5.
FLASHCARD QUESTION
Front
Factor the sum of cubes: x³ + 1.
Back
(x + 1)(x² - x + 1)
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
Factor the difference of cubes: 27x³ - 64.
Back
(3x - 4)(9x² + 12x + 16)
Tags
CCSS.HSA.APR.C.4
7.
FLASHCARD QUESTION
Front
What is the first step in factoring a sum or difference of cubes?
Back
Identify a and b such that a³ or b³ corresponds to the terms.
Tags
CCSS.HSA.APR.C.4
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