Factoring: Perfect Squares, Sums & Difference of Cubes

Front

What is ALWAYS the first step when factoring?

Back

Look for the GCF (Greatest Common Factor)

Front

Factor: x² + 18x + 81

Back

(x + 9)²

Front

Factor: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Front

Factor using the sum of cubes: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

Factor: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16)

Front

What is the formula for the difference of squares?

Back

a² - b² = (a - b)(a + b)

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

How do you factor a perfect square trinomial?

Back

a² + 2ab + b² = (a + b)² or a² - 2ab + b² = (a - b)²

Front

Factor: x² - 16

Back

(x - 4)(x + 4)