Difference of Squares / Cubes

Front

What is the Difference of Squares formula?

Back

a² - b² = (a + b)(a - b)

Front

Factor: 4y² - 9

Back

(2y + 3)(2y - 3)

Front

What is the Difference of Cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor: a³ + b³

Back

(a + b)(a² - ab + b²)

Front

What is the Sum of Squares?

Back

The sum of squares cannot be factored over the real numbers.

Front

Factor: 49x² + 16

Back

does not factor (SUM of squares)

Front

What is the Difference of Two Cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor: x³ + 1

Back

(x + 1)(x² - x + 1)

Front

What is the first step in factoring a polynomial?

Back

Look for a Greatest Common Factor (GCF).

Front

Factor: 27a³ - 729

Back

DIFFERENCE OF TWO CUBES