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

Back

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

Front

Fully factor 25x² - 81.

Back

(5x + 9)(5x - 9) is the factorization of 25x² - 81.

Front

What is the result of factoring r² - 9t²?

Back

The result is (r + 3t)(r - 3t).

Front

How do you factor q² - 121?

Back

q² - 121 factors to (q + 11)(q - 11).

Front

What is the factorization of w⁴ - 625?

Back

w⁴ - 625 factors to (w² + 25)(w² - 25).

Front

What type of expression can be factored using the Difference of Squares?

Back

Expressions of the form a² - b² can be factored using the Difference of Squares.

Front

Is 25x² + 81 a Difference of Squares?

Back

No, 25x² + 81 is not a Difference of Squares.

Front

What are the factors of 49 - x²?

Back

The factors are (7 + x)(7 - x).

Front

Can the expression 4y² - 16 be factored?

Back

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