Difference of Squares / Cubes

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b)

Front

Factor the expression: 121x² - 49

Back

(11x + 7)(11x - 7)

Front

What is the sum of squares?

Back

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

Front

Factor the expression: 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 the expression: 64x³ + 1

Back

(4x + 1)(16x² - 4x + 1)

Front

Factor the expression: x³ - 343

Back

(x - 7)(x² + 7x + 49)

Front

What is the formula for factoring a perfect square trinomial?

Back

a² + 2ab + b² = (a + b)²

Front

What is a perfect square?

Back

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

Front

What is the first step in factoring a difference of squares?

Back

Identify the squares and apply the difference of squares formula.