Difference of Squares

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a² - b² = (a - b)(a + b).

Front

Factor the expression: 81 - 400q².

Back

(9 - 20q)(9 + 20q)

Front

Factor the expression: 16r² - 196.

Back

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

Front

Factor the expression: 81 - 25w².

Back

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

Front

Factor the expression: x⁴ - 81.

Back

(x² + 9)(x² - 9)

Front

Is the expression x² + 81 factorable?

Back

It's prime.

Front

What does it mean for an expression to be prime in algebra?

Back

An expression is prime if it cannot be factored into simpler expressions with integer coefficients.

Front

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

Back

Identify the two squares in the expression.

Front

Provide an example of a difference of squares.

Back

Example: 36 - 16 = (6 - 4)(6 + 4).

Front

What is the significance of the Difference of Squares in algebra?

Back

It allows for the simplification of expressions and solving equations more easily.