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 number subtracted from another square number.

Front

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

Back

No, 16p³ - 81q⁶ cannot be factored using the Difference of Squares.

Front

What is the factored form of r⁴ - q⁴?

Back

The factored form is (r² + q²)(r² - q²).

Front

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

Back

No, 9n² + 1 cannot be factored using the Difference of Squares.

Front

What is the factored form of r² - 9t²?

Back

The factored form is (r + 3t)(r - 3t).

Front

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

Back

No, 4m² + 49 cannot be factored using the Difference of Squares.

Front

What is an example of a Difference of Squares?

Back

An example is 25 - 16, which can be factored as (5 + 4)(5 - 4).

Front

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

Back

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

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

Is r² - q² a Difference of Squares?

Back

Yes, r² - q² can be factored as (r + q)(r - q).