How to factor the difference of two squares, x^2 - 16; 4x^2 - 9; 16x^2 - 25y^2; x^4 - 64

The video tutorial explains how to factor the difference of two squares, a method used when a square term is subtracted from another square term. The instructor provides a formula for factoring and demonstrates it through several examples, including cases with multiple variables and higher exponents. The tutorial aims to clarify the concept and application of the difference of two squares in algebraic expressions.

What is the basic formula for factoring the difference of two squares?

• (A + B)(A - B)

• (A - B)(A - B)

• (A + B)(A + B)

• (A - B)(B - A)

How would you factor the expression X^2 - 16 using the difference of two squares?

• (X + 8)(X - 8)

• (X + 16)(X - 16)

• (X + 4)(X - 4)

• (X + 2)(X - 2)

In the expression 4X^2 - 9, what are the values of A and B when using the difference of two squares?

• A = 2X, B = 3

• A = 4X, B = 9

• A = X, B = 3

• A = 2X, B = 9

How do you factor the expression 16X^2 - 25Y^2 using the difference of two squares?

• (4X + 5Y)(4X - 5Y)

• (4X + 25Y)(4X - 25Y)

• (X + Y)(X - Y)

• (16X + 5Y)(16X - 5Y)

What is the factored form of X^4 - 64 using the difference of two squares?

• (X^2 + 16)(X^2 - 16)

• (X^2 + 64)(X^2 - 64)

• (X^2 + 8)(X^2 - 8)

• (X^2 + 4)(X^2 - 4)