Factoring Difference of Squares

Front

What is the formula for factoring the difference of two squares?

Back

a² - b² = (a + b)(a - b)

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

Is 25 a perfect square?

Back

Yes, because 5² = 25.

Front

Is 8 a perfect square?

Back

No, it cannot be expressed as the square of an integer.

Front

Factor the expression: 3x² - 75

Back

3(x + 5)(x - 5)

Front

Can the expression 9n² + 1 be factored using the difference of squares?

Back

No, it cannot be factored using the difference of squares.

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

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

Back

Identify if the expression can be written in the form a² - b².

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.