Factoring the difference of two squares | Step by Step

The video tutorial explains how to factor expressions using the difference of two squares. It covers the basic formula, demonstrates verification through multiplication, and provides examples with varying complexity, including multiple variables and higher powers. The tutorial emphasizes understanding the pattern and identifying square terms to rewrite them as products.

What is the general formula for factoring a difference of two squares?

• (a - b)(b - a)

• (a + b)(a + b)

• (a - b)(a - b)

• (a + b)(a - b)

In the example X^2 - 36, what are the values of A and B?

• A = 36, B = X

• A = X, B = 36

• A = X, B = 6

• A = 6, B = X

When factoring 49X^2 - 64, what is the factored form?

• (7X + 8)(7X + 8)

• (7X - 8)(7X + 8)

• (7X - 8)(7X - 8)

• (8X - 7)(8X + 7)

How can Y^6 be expressed in terms of a product of squares?

• Y^6 * Y^0

• Y^2 * Y^4

• Y^3 * Y^3

• Y^1 * Y^5

What is the square root of B^8 when using the power rule?

• B^8

• B^6

• B^2

• B^4

In the expression 25A^4 - B^8, what is the factored form?

• (5A^2 + B^4)(5A^2 + B^4)

• (5A^2 + B^8)(5A^2 - B^8)

• (5A^2 - B^4)(5A^2 - B^4)

• (5A^2 - B^4)(5A^2 + B^4)

What is the purpose of checking your work by multiplying back the products?

• To ensure the factoring is correct

• To change the variables

• To simplify the expression

• To find new factors