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: r² - 9t²

Back

(r + 3t)(r - 3t)

Front

Can the expression 4m² + 49 be factored using the Difference of Squares?

Back

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

Front

Factor the expression: x² - 9

Back

(x + 3)(x - 3)

Front

Can the expression 16p³ - 81q⁶ be factored using the Difference of Squares?

Back

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

Front

Factor the expression: q² - 121

Back

(q + 11)(q - 11)

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

Is the expression 25 - x² a Difference of Squares?

Back

Yes, it can be factored as (5 + x)(5 - x).

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: 49y² - 64

Back

(7y + 8)(7y - 8)