Factoring Difference of Squares

Front

What is the difference of squares?

Back

The difference of squares is a mathematical expression of the form a² - b², which can be factored into (a - b)(a + b).

Front

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

Back

No, the difference of squares can only be applied to expressions with a subtraction sign.

Front

Factor the expression: 49x² - 16.

Back

(7x - 4)(7x + 4)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Factor the expression: 36x² - 64.

Back

4(3x - 4)(3x + 4)

Front

What is the formula for factoring the difference of squares?

Back

The formula is a² - b² = (a - b)(a + b).

Front

Factor the expression: 25x² - 81.

Back

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

Front

Which of the following can be factored using the difference of squares? 4x² - 121, 36x² - 54.

Back

4x² - 121 can be factored using the difference of squares.

Front

Factor the expression: 4x² - 9.

Back

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

Front

What is the first step in factoring a difference of squares?

Back

Identify if the expression is in the form a² - b².