Factoring Special Cases

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 a perfect cube?

Back

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

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a - b)(a + b).

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the difference of cubes formula?

Back

The difference of cubes formula states that a³ - b³ = (a - b)(a² + ab + b²).

Front

Factor the expression: x² + 81

Back

Prime (not factorable).

Front

Factor the expression: x³ + 1

Back

(x + 1)(x² - x + 1).

Front

Factor the expression: 27x³ - 64

Back

(3x - 4)(9x² + 12x + 16).

Front

Factor the expression: 8x³ - 1

Back

(2x - 1)(4x² + 2x + 1).