Algebraic Expressions and Operations

The video tutorial explains how to factor expressions using two methods: u plus v squared and the difference of squares. It begins by introducing the concept of factoring expressions as u plus v squared, explaining the pattern, and providing an example. The tutorial then shifts to the difference of squares, explaining the concept and demonstrating it with an example. Throughout the video, the instructor emphasizes understanding the patterns and applying them to factor expressions effectively.

What is the formula for the square of a binomial?

• u^2 + v^2

• 2uv

• u^2 + 2uv + v^2

• u^2 - v^2

If u squared is x + 7 squared, what is u?

• x^2 + 7

• x + 7

• x - 7

• 7x

What is v if v squared is y to the fourth?

• y

• y^2

• y^4

• 2y

How can the expression be rewritten using u and v?

• (x + 7 + y^2)^2

• (x + 7)^2 + y^2

• (x + 7) + y^2

• (x + 7) + (y^2)^2

What is the result of multiplying u + v by u - v?

• u^2 + v^2

• u^2 - v^2

• 2uv

• u^2 + 2uv + v^2

If u squared is 4x squared, what is u?

• 2x

• x

• 4x

• x^2

What is v if v squared is 9y to the 6th?

• 3y^3

• y^3

• 9y^3

• 3y^6

How can the expression be factored using u and v?

• (2x + 3y^3)(2x - 3y^3)

• (2x + 3y^3)^2

• (2x - 3y^3)^2

• (2x + 3y^3) + (2x - 3y^3)

What is the square root of 9?

• 3

• 2

• 4

• 5

What is the square root of y to the 6th?

• y^2

• y^3

• y^6

• y^4