Factoring using difference of two squares by factoring out a variable

What is the first step in factoring an expression like 75x and 27x?

• Identify the difference of squares

• Find the common factors

• Complete the square

• Use the quadratic formula

Which of the following expressions is an example of the difference of two squares?

• x^2 + 3x + 9

• x^2 - 9

• x^2 + 9

• x^2 - 3x + 9

How can the expression x^2 - 9 be factored using the difference of squares method?

• (x - 1)(x + 9)

• (x - 9)(x + 9)

• (x - 3)(x + 3)

• (x - 3)(x - 3)

What is a key advantage of recognizing the difference of two squares in an expression?

• It allows for the use of the quadratic formula

• It simplifies the factoring process

• It eliminates the need for factoring

• It provides the exact roots of the equation

Which method is suggested as a shortcut for factoring expressions?

• Graphing the expression

• Recognizing the difference of two squares

• Using the quadratic formula

• Completing the square