Factoring using difference of two squares to a power of 4

The video tutorial explains the concept of the difference of squares, starting with identifying squared numbers and rewriting them in a recognizable format. It covers the rules of exponents, emphasizing multiplication when raising a power to another power. The tutorial concludes by demonstrating how to factor expressions with higher power exponents, using the example of rewriting and factoring X^4 as a squared number.

What is the formula for the difference of two squares?

• a^2 + b^2 = (a - b)(a + b)

• a^2 - b^2 = (a - b)(a - b)

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)(a - b)

Which of the following is a square number?

• 15

• 16

• 18

• 20

How can x^4 be expressed as a square number?

• (x^2)^2

• (x^3)^2

• (x^2)^3

• (x^4)^1

When raising a power to another power, what operation is used on the exponents?

• Multiplication

• Subtraction

• Addition

• Division

What is the factored form of x^4 - 16?

• (x^2 - 4)(x^2 + 4)

• (x^2 + 4)(x^2 - 4)

• (x^2 - 4)(x^2 - 4)

• (x^2 + 4)(x^2 + 4)