Understanding Quadratic Identities

What is the initial step in identifying the type of quadratic identity in the first problem?

• Check if it is a sum of squares

• Look for a minus sign indicating a square of a difference

• Identify if it is a perfect square trinomial

• Determine if it is a product of binomials

How can the expression x^2 - 4 be rewritten using the difference of squares method?

• As (x^2 + 4)

• As (x^2 - 2)^2

• As (x - 2)(x + 2)

• As (x - 4)(x + 4)

What is the final form of the expression after applying the square of a difference and difference of squares methods?

• (x^2 - 4)^2

• (x^2 - 2)^2(x^2 + 2)^2

• (x - 2)^2(x + 2)^2

• (x - 2)^2 + (x + 2)^2

In the second problem, what must the original number be for its square to equal 'a'?

• 2a

• a/2

• Square root of a

• a^2

How is the expression x^2 - a factored using the difference of squares method?

• (x - a)(x + a)

• (x - sqrt(a))(x + sqrt(a))

• (x - a^2)(x + a^2)

• (x^2 - a)^2