Sum & Difference of Cubes

Front

What is the formula for the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor the expression: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

Which number is both a perfect square and a perfect cube?

Back

64

Front

Factor the difference of cubes: x³ - 343

Back

(x - 7)(x² + 7x + 49)

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).

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer (e.g., 1, 4, 9, 16).

Front

How do you identify a difference of cubes?

Back

An expression of the form a³ - b³, where both a and b are perfect cubes.

Front

How do you identify a sum of cubes?

Back

An expression of the form a³ + b³, where both a and b are perfect cubes.