Factor by Grouping & Sum/Diff of Cubes

Front

What is Factor by Grouping?

Back

A method used to factor polynomials by grouping terms with common factors together.

Front

What is the Sum of Cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the Difference of Cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: 20x³ - 25x² + 4x - 5

Back

(5x² + 1)(4x - 5)

Front

Factor the expression: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1)

Front

Factor the expression: x³ - 5x² + 5x - 25

Back

(x² + 5)(x - 5)

Front

Factor the expression: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

Factor the expression: 7r³ - 8r² + 42r - 48

Back

(r² + 6)(7r - 8)

Front

What is a polynomial?

Back

An expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What does it mean to fully factor an expression?

Back

To express the polynomial as a product of its simplest factors.