Difference of Squares

Front

What is the Difference of Squares formula?

Back

The Difference of Squares formula states that a² - b² = (a + b)(a - b).

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

Can the expression x² + 81 be factored using the Difference of Squares?

Back

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

Front

What is the factored form of q² - 121?

Back

(q + 11)(q - 11).

Front

What is the factored form of x² - 9?

Back

(x + 3)(x - 3).

Front

What is the factored form of r² - 9t²?

Back

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

Front

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

Back

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

Front

Is the expression 4x² - 16 a Difference of Squares?

Back

Yes, it can be factored as (2x + 4)(2x - 4).

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of an integer.

Front

Can the expression 25 - y² be factored using the Difference of Squares?

Back

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