Factoring Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a mathematical expression of the form a² - b², which can be factored into (a + b)(a - b).

Front

Factor the expression: r² - 9t²

Back

(r + 3t)(r - 3t)

Front

Factor the expression: 4x² - 9

Back

(2x - 3)(2x + 3)

Front

Factor the expression: 25x² - 81

Back

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

Front

Which of the following is NOT a perfect square? 1, 4, 100, 8

Back

8

Front

Factor the expression: 9x² - 49y⁶

Back

(3x - 7y³)(3x + 7y³)

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer, e.g., 1, 4, 9, 16.

Front

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

Back

Identify the two perfect squares in the expression.

Front

What is the formula for factoring a difference of squares?

Back

a² - b² = (a + b)(a - b)

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)