Factoring Using the Difference of Squares in Algebra 2

What is the first step in factoring using the difference of two squares?

• Identify the perfect squares

• Expand the equation

• Combine like terms

• Add the constants

Which of the following is a perfect square?

• 15

• 8

• 25

• 30

Why does the middle term cancel out in the difference of squares method?

• Because the constants are equal

• Because the exponents are the same

• Because the signs are different

• Because the coefficients are equal

What is the result of factoring x^2 - 49?

• (x - 7)(x + 7)

• (x + 7)(x - 7)

• (x - 7)(x - 7)

• (x + 7)(x + 7)

After factoring x^2 - 49, what are the solutions to the equation x^2 - 49 = 0?

• x = 7 and x = -7

• x = 0 and x = 7

• x = 7 and x = 7

• x = 0 and x = -7

What is the square root of 16?

• 2

• 16

• 4

• 8

When solving the equation (x - 4)(x + 4) = 0, what are the solutions?

• x = 0 and x = -4

• x = 4 and x = 4

• x = 0 and x = 4

• x = 4 and x = -4

Which method can be used to solve x^2 - 16 = 0?

• Square roots

• Quadratic formula

• Factoring

• All of the above

What is the solution to the equation 5x - 2 = 0?

• x = -5/2

• x = -2/5

• x = 2/5

• x = 5/2

What is the importance of following specific directions when solving equations?

• All of the above

• It avoids confusion

• It saves time

• It ensures accuracy