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 the expression: x² - 16.

Back

(x + 4)(x - 4)

Front

Factor the expression: 49n² - 25.

Back

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

Front

Factor the expression: y² - 196.

Back

(y + 14)(y - 14)

Front

Factor the expression: 49x² - 16.

Back

(7x + 4)(7x - 4)

Front

Factor the expression: 4x² - 9.

Back

(2x + 3)(2x - 3)

Front

What is the formula for factoring the difference of squares?

Back

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

Front

Provide an example of a difference of squares: 25 - x².

Back

(5 + x)(5 - x)

Front

What are the steps to factor a difference of squares?

Back

1. Identify a and b in a² - b². 2. Apply the formula (a + b)(a - b).

Front

Factor the expression: 36 - y².

Back

(6 + y)(6 - y)