Factoring Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a special factoring technique used to factor expressions of the form a² - b², which can be factored into (a - b)(a + b).

Front

Factor the expression: 4x² - 9

Back

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

Front

Factor the expression: 9x² - 49y⁶

Back

(3x - 7y³)(3x + 7y³)

Front

Fully factor the expression: 25x² - 81

Back

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

Front

Why can't we factor 49x² + 4y² using the difference of squares?

Back

Because we can't factor using difference of two squares if it is an addition sign.

Front

Factor the expression: 36x² - 64

Back

4(3x - 4)(3x + 4)

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 formula for factoring the difference of squares?

Back

The formula is a² - b² = (a - b)(a + b).

Front

Identify the squares in the expression: 16x² - 25.

Back

16x² is (4x)² and 25 is 5².

Front

Factor the expression: x² - 16.

Back

(x - 4)(x + 4)