Difference of Squares

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)

Front

Factor the expression: 81 - 25w².

Back

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

Front

Factor the expression: 81 - 400q².

Back

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

Front

Factor the expression: 9c² - 100.

Back

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

Front

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

Back

Identify the two perfect squares in the expression.

Front

Factor the expression: x⁴ - 81.

Back

(x² + 9)(x² - 9)

Front

What does it mean for an expression to be a perfect square?

Back

An expression is a perfect square if it can be expressed as the square of a binomial.

Front

Factor the expression: 16 - y².

Back

(4 - y)(4 + y)

Front

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

Back

It allows for the simplification of expressions and solving equations.

Front

Factor the expression: 49x² - 1.

Back

(7x - 1)(7x + 1)