Factor by Grouping & Sum/Diff of Cubes

Front

What is the formula for factoring the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the formula for factoring the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the expression: 216x³ + 125

Back

(6x + 5)(36x² - 30x + 25)

Front

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

Back

(r² + 6)(7r - 8)

Front

Factor the expression: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

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

Back

(5x² + 1)(4x - 5)

Front

Factor the expression: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Front

What is the first step in factoring by grouping?

Back

Group terms in pairs and factor out the common factor from each pair.

Front

What is the purpose of factoring polynomials?

Back

To simplify expressions and solve equations more easily.

Front

What does it mean to fully factor an expression?

Back

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