Factor difference of two squares - The best math teacher ever

The video tutorial explains how to factor the expression 100y^6 - x^2. It begins by identifying that no common numbers can be factored out from the terms. The instructor then demonstrates how to express the expression as a product of two binomials, using the concept of the difference of two squares. The process involves selecting numbers that multiply to give the original terms and using the properties of exponents. Finally, the instructor foils the expression to show how the terms cancel out, leaving the original expression.

What is the first step in factoring an expression like 100y^6 - x^2?

• Directly write the expression as a product of binomials

• Simplify each term individually

• Identify common factors in all terms

• Use the quadratic formula

When factoring 100y^6, which pair of numbers can be used to split it?

• 25y^3 and 4y^3

• 50y^3 and 2y^3

• 10y^3 and 10y^3

• 5y^3 and 20y^3

What is the term used to describe the expression 10y^3 squared minus x^2?

• Sum of cubes

• Difference of squares

• Sum of squares

• Difference of cubes

What happens to the middle terms when you foil the expression (10y^3 - x)(10y^3 + x)?

• They double in value

• They add up to zero

• They remain unchanged

• They become negative

What is the final factored form of the expression 100y^6 - x^2?

• (10y^3 + x)(10y^3 - x)

• (10y^3 - x)^2

• (10y^3 + x)^2

• (10y^3 - x)(10y^3 + x)