8.8- Difference of Squares

Front

What is the Difference of Squares?

Back

The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.

Front

Factor the expression: x² - 16

Back

(x + 4)(x - 4)

Front

What types of expressions can be factored using the Difference of Squares?

Back

Expressions that can be written in the form a² - b², where both a and b are perfect squares.

Front

Factor the expression: 25 - y²

Back

(5 + y)(5 - y)

Front

Can the expression 4x² + 9 be factored using the Difference of Squares?

Back

No, it cannot be factored using the Difference of Squares.

Front

Factor the expression: 49m² - 1

Back

(7m + 1)(7m - 1)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

Factor the expression: a² - 36

Back

(a + 6)(a - 6)

Front

Can the expression 9n² + 1 be factored using the Difference of Squares?

Back

No, it cannot be factored using the Difference of Squares.

Front

Factor the expression: w⁴ - 625

Back

(w² + 25)(w² - 25)