Algebra | Expanding Three Brackets | Maths with Mrs. B

The video tutorial explains how to expand three brackets using a three-step process. Initially, the first two brackets are expanded and simplified, followed by multiplying the result with the third bracket. Finally, like terms are combined to simplify the expression. The tutorial provides three examples using different variables (X, A, Y) to demonstrate the process in detail.

What is the first step in expanding three brackets?

• Multiply all brackets together at once

• Expand and simplify the first two brackets

• Combine like terms immediately

• Ignore the first bracket

In Step 1, what is the result of multiplying X by X?

• X^3

• X^2

• 2X

• X

During Step 2, why is it easier to place the shortest bracket at the start?

• It simplifies the calculation

• It makes the process faster

• It reduces the number of terms

• It helps in avoiding errors

What is the result of multiplying -5 by X^2 in Step 2?

• -5X^2

• -5X^3

• 5X^2

• -X^2

In Step 3, what do you get when you combine X^2 and -5X^2?

• 4X^2

• 0

• X^2

• -4X^2

What is the final expression after expanding and simplifying all three brackets in the first example?

• X^3 - 4X^2 - 17X + 60

• X^3 + 4X^2 + 17X - 60

• X^3 - 4X^2 + 17X - 60

• X^3 + 4X^2 - 17X + 60

In the last example, what is the result of combining -6Y and -Y?

• 7Y

• -7Y

• 5Y

• -5Y