Factoring Difference of Two Squares

Front

What is the formula for factoring the difference of two squares?

Back

a² - b² = (a + b)(a - b)

Front

What is a difference of two squares?

Back

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

Front

Can we factor an expression with an addition sign using the difference of two squares?

Back

No, we cannot factor using the difference of two squares if there is an addition sign.

Front

Which of the following can be factored using the difference of two squares: 144x² - 49y² or x² + 4x - 12?

Back

144x² - 49y² can be factored using the difference of two squares.

Front

What is the first step in factoring 32n² - 50?

Back

Check for a greatest common factor (GCF).

Front

Factor the expression 4x² - 9.

Back

(2x - 3)(2x + 3)

Front

What is the GCF of 32n² and 50?

Back

The GCF is 2.

Front

Fully factor the expression 25x² - 81.

Back

(5x + 9)(5x - 9)

Front

What does it mean for a number to be a perfect square?

Back

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

Front

Is the expression 14x - 16 factorable using the difference of two squares?

Back

No, it cannot be factored using the difference of two squares.