Solving by difference of two squares when not a square number

The video tutorial demonstrates how to factor an expression using the difference of two squares technique. It begins by explaining the concept and setting up the equation to be factored. The instructor then applies the difference of squares method, identifying the terms a^2 and b^2, and solving for the variables by taking square roots. The tutorial concludes by summarizing the solution and emphasizing the applicability of the technique even when dealing with non-square numbers.

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

• Set the expression equal to zero

• Add the terms

• Identify the square terms

• Multiply the terms

In the expression a^2 - b^2, what does 'a' represent?

• The difference of the terms

• The product of the terms

• The square root of the first term

• The sum of the terms

How do you determine the value of 'b' in the expression a^2 - b^2?

• By multiplying the terms

• By taking the square root of the second term

• By subtracting the terms

• By adding the terms

What is the result of factoring the expression X^2 - 3 using the difference of two squares?

• (X - sqrt(3))(X + sqrt(3))

• (X + 3)(X - 3)

• (X - 1)(X + 1)

• (X + sqrt(3))(X - sqrt(3))

What are the solutions to the equation X^2 - 3 = 0 after factoring?

• X = sqrt(3) and X = -sqrt(3)

• X = 3 and X = -3

• X = 0 and X = 3

• X = 1 and X = -1