Difference of Squares

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: 4y² – 9.

Back

(2y + 3)(2y – 3)

Front

Factor the expression: x² - 144.

Back

(x + 12)(x - 12)

Front

Factor the expression: 25x² - 81.

Back

(5x + 9)(5x - 9)

Front

Factor the expression: y² - 196.

Back

(y + 14)(y - 14)

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 the first step in factoring a difference of squares?

Back

Identify the two perfect squares in the expression.

Front

Factor the expression: 49a² - 36b².

Back

(7a + 6b)(7a - 6b)

Front

What does it mean to factor an expression completely?

Back

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

Front

Factor the expression: 9x² - 25.

Back

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