Factoring

Front

What is factoring in mathematics?

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: x² - 25

Back

(x + 5)(x - 5)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which factors to (a ± b)².

Front

Factor: d² - 10d + 25

Back

(d - 5)(d - 5)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers.

Front

Find the GCF of 18xy and 12x.

Back

6x

Front

Factor completely: 3x² + 5x - 12

Back

(3x - 4)(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

What is the product of sums formula?

Back

The product of sums formula states that (a + b)(c + d) = ac + ad + bc + bd.