Understanding the Difference of Squares

The video tutorial explains how to determine the value of x squared minus y squared given two equations: X plus y equals the square root of 12 and x minus y equals the square root of 3. It introduces the difference of squares formula, which states that x squared minus y squared equals the product of (X plus y) and (x minus y). By multiplying the left sides of the given equations, the product equals the right sides' product, which simplifies to the square root of 36, or 6. Thus, x squared minus y squared is determined to be 6.

What are the given equations in the problem?

• X + Y = 6 and X - Y = 2

• X + Y = √3 and X - Y = √12

• X + Y = 12 and X - Y = 3

• X + Y = √12 and X - Y = √3

Tags

CCSS.HSA.APR.C.4

Which formula is used to find X² - Y²?

• Sum of squares

• Quadratic formula

• Difference of squares

• Pythagorean theorem

Tags

CCSS.HSA.APR.C.4

What is the expression for X² - Y² using the difference of squares formula?

• (X + Y) - (X - Y)

• (X + Y) + (X - Y)

• (X + Y) × (X - Y)

• (X - Y) / (X + Y)

What is the product of √12 and √3?

• √15

• √36

• √9

• √6

Tags

CCSS.6.EE.A.2C

What is the final value of X² - Y²?

• 9

• 6

• 12

• 3

Tags

CCSS.6.EE.A.2C