Factoring

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 the difference of squares formula?

Back

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

Front

Factor the expression: 25x² - 36y²

Back

(5x + 6y)(5x - 6y)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

Factor the trinomial: x² + 7x - 30

Back

(x + 10)(x - 3)

Front

What is the sum of cubes formula?

Back

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

Front

Factor the expression: x³ + 1

Back

(x + 1)(x² - x + 1)

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: 64 - 27a³

Back

(4 - 3a)(9a² + 12a + 16)

Front

Factor the expression: x³ - 343

Back

(x - 7)(x² + 7x + 49)