Difference of Squares

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: 9c² - 100.

Back

(3c - 10)(3c + 10)

Front

Factor the expression: 81 - 25w².

Back

(9 - 5w)(9 + 5w)

Front

Factor the expression: 81c² - 100.

Back

(9c - 10)(9c + 10)

Front

Factor the expression: 16r² - 196.

Back

(4r - 14)(4r + 14)

Front

Factor the expression: x⁴ - 81.

Back

(x² + 9)(x² - 9)

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 first step in factoring a difference of squares?

Back

Identify the two perfect squares in the expression.

Front

Provide an example of a difference of squares.

Back

Example: 36 - 16 = 6² - 4² = (6 - 4)(6 + 4) = (2)(10) = 20.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.