Factoring the 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 x² - 144.

Back

(x + 12)(x - 12)

Front

Factor 25x² - 81.

Back

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

Front

Factor x² - 16.

Back

(x + 4)(x - 4)

Front

Factor 64x² - 49y².

Back

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

Front

Factor 49n² - 25.

Back

(7n + 5)(7n - 5)

Front

What is the formula for factoring the difference of squares?

Back

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

Front

What types of expressions can be factored using the difference of squares?

Back

Expressions that can be written in the form a² - b², where both a and b are perfect squares.

Front

Provide an example of a difference of squares expression.

Back

Example: 36 - 16 = 6² - 4².

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.