Factoring the Difference of Two Perfect Squares

What does the abbreviation DOTS stand for?

• Difference of Two Sums

• Division of Two Sums

• Division of Two Squares

• Difference of Two Squares

What is the first step in factoring a binomial using the DOTS method?

• Add the two terms

• Multiply the two terms

• Divide the two terms

• Check if both terms are perfect squares

In the example x^2 - 25, what are the factors?

• (x - 5)(x + 25)

• (x + 5)(x - 5)

• (x - 5)(x - 5)

• (x + 5)(x + 5)

What is the result of double distributing (x + 5)(x - 5)?

• x^2 + 25

• x^2 - 10x + 25

• x^2 - 25

• x^2 + 10x + 25

What happens to the middle terms when you double distribute (x + 5)(x - 5)?

• They add up to a positive term

• They add up to a negative term

• They remain unchanged

• They cancel each other out

What is the square root of 36x^2?

• 12x

• 6x^2

• 36x

• 6x

How do you find the square root of y^6?

• Multiply the exponent by 2

• Subtract 1 from the exponent

• Divide the exponent by 3

• Divide the exponent by 2

What should you do first if a binomial has a greatest common factor?

• Factor out the greatest common factor

• Ignore the common factor

• Multiply the common factor with each term

• Add the common factor to each term

What is the greatest common factor of 100x^2 - 16?

• 4

• 16

• 8

• 2

After factoring out the greatest common factor, what is the next step?

• Divide the terms

• Factor the remaining binomial using DOTS

• Multiply the terms

• Add the terms