Difference of Squares

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: 25x² - 36.

Back

(5x - 6)(5x + 6)

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.

Front

Factor the expression: x² - 16.

Back

(x - 4)(x + 4)

Front

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

Back

Identify the two squares in the expression.

Front

Factor the expression: 49y² - 1.

Back

(7y - 1)(7y + 1)

Front

What is a perfect square?

Back

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

Front

Factor the expression: 64 - z².

Back

(8 - z)(8 + z)

Front

What is the significance of the difference of squares in algebra?

Back

It allows for simplification and solving quadratic equations.

Front

Factor the expression: 9a² - 25b².

Back

(3a - 5b)(3a + 5b)