Factoring Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.

Front

Factor: x² - 16

Back

(x + 4)(x - 4)

Front

Can you factor m² + 49 using Difference of Squares?

Back

No, because it is a sum of squares, not a difference.

Front

What is the GCF of 12x² + 8x?

Back

4x

Front

Factor: 25y² - 36

Back

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

Front

What does GCF stand for?

Back

Greatest Common Factor, the largest factor that divides two or more numbers.

Front

Factor: 4a² - 9b²

Back

(2a + 3b)(2a - 3b)

Front

What is the first step in factoring a polynomial?

Back

Identify the Greatest Common Factor (GCF) of the terms.

Front

Factor: 9x² - 25

Back

(3x + 5)(3x - 5)

Front

What is a polynomial?

Back

A mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.