Factoring Polynomials (Grouping and Sum/Difference of Cubes)

Front

What is the formula for factoring the sum of cubes?

Back

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Front

What is the formula for factoring the difference of cubes?

Back

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Front

Factor the sum of cubes: x^3 + 27

Back

(x + 3)(x^2 - 3x + 9)

Front

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

Back

64

Front

Factor by grouping: 30x^3 + 15x^2 - 18x - 9

Back

3(5x^2 - 3)(2x + 1)

Front

Factor by grouping: x^3 - 5x^2 + 5x - 25

Back

(x^2 + 5)(x - 5)

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

What is a perfect cube?

Back

A number that can be expressed as the cube of an integer.

Front

Factor the expression: 216x^3 + 125

Back

(6x + 5)(36x^2 - 30x + 25)

Front

What is the first step in factoring by grouping?

Back

Group terms with common factors together.