What is the formula for the sum of cubes?

Sum & Difference of Cubes

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
a³ + b³ = (a + b)(a² - ab + b²)
2.
FLASHCARD QUESTION
Front
What is the formula for the difference of cubes?
Back
a³ - b³ = (a - b)(a² + ab + b²)
3.
FLASHCARD QUESTION
Front
Factor the expression: 8x³ - 1
Back
(2x - 1)(4x² + 2x + 1)
4.
FLASHCARD QUESTION
Front
Factor the expression: 27x³ + 8
Back
(3x + 2)(9x² - 6x + 4)
5.
FLASHCARD QUESTION
Front
Which number is both a perfect square and a perfect cube?
Back
64
6.
FLASHCARD QUESTION
Front
Factor the difference of cubes: x³ - 343
Back
(x - 7)(x² + 7x + 49)
7.
FLASHCARD QUESTION
Front
What is a perfect cube?
Back
A number that can be expressed as the cube of an integer (e.g., 1, 8, 27, 64).
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