Factoring Using Difference of Squares

The video tutorial explains how to factor binomials using the difference of squares method. It begins with an introduction to the concept, followed by a step-by-step example demonstrating the technique. The tutorial then presents a more advanced example, highlighting additional steps to simplify the process. Key points include recognizing squared terms, applying the formula a^2 - b^2 = (a + b)(a - b), and factoring out common factors before applying the difference of squares.

What is the first step in factoring a binomial using the difference of squares method?

• Identify if both terms are perfect squares.

• Multiply the terms.

• Use the diamond method.

• Combine like terms.

In the difference of squares formula, what do the terms 'a' and 'b' represent?

• The sum of the terms.

• The exponents of the terms.

• The square roots of the terms.

• The coefficients of the terms.

What is the factored form of 4x^2 - 49y^2 using the difference of squares?

• (2x + 49y)(2x - 49y)

• (4x + 49y)(4x - 49y)

• (2x + 7y)(2x - 7y)

• (4x + 7y)(4x - 7y)

What is the next step after identifying the terms in the binomial as perfect squares?

• Combine the terms.

• Apply the difference of squares formula.

• Use the diamond method.

• Multiply the terms.

In the example 4x^2 - 49y^2, what are the values of 'a' and 'b'?

• a = 4x, b = 7y

• a = 2x, b = 49y

• a = 4x, b = 49y

• a = 2x, b = 7y

What should you do before applying the difference of squares formula if the binomial has a common factor?

• Ignore the common factor.

• Factor out the common factor.

• Combine the terms.

• Use the diamond method.

What is the factored form of 45x^2 - 125 using the difference of squares after factoring out the common factor?

• 5(3x^2 - 25)

• 5(3x + 5)(3x - 5)

• 5(9x^2 - 25)

• 5(9x + 5)(9x - 5)

What is the value of 'a' in the expression 9x^2 - 25 after factoring out the common factor?

• 25

• 5

• 9x

• 3x

What is the value of 'b' in the expression 9x^2 - 25 after factoring out the common factor?

• 5

• 9x

• 3x

• 25

What is the final step in the factoring process when a common factor is involved?

• Multiply the terms.

• Apply the difference of squares formula.

• Include the common factor in the final answer.

• Combine the terms.