Difference of 2 squares

Front

What is the difference of two squares?

Back

The difference of two squares is a special factorization pattern that states: a² - b² = (a + b)(a - b).

Front

Factor x² - 9

Back

(x + 3)(x - 3)

Front

What is a sum of squares?

Back

A sum of squares is an expression of the form a² + b², which cannot be factored over the real numbers.

Front

Factor 49x² + 16

Back

does not factor (SUM of squares)

Front

Factor 64x² - 49y²

Back

(8x + 7y)(8x - 7y)

Front

Factor 4x²y² - 1

Back

(2xy + 1)(2xy - 1)

Front

Factor x² - 16

Back

(x + 4)(x - 4)

Front

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

Back

Identify the two squares in the expression.

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors that cannot be factored further.

Front

Provide an example of a difference of squares.

Back

x² - 25 = (x + 5)(x - 5)