Expanding Brackets using the Box (Grid) Method

The video tutorial explains how to multiply two brackets using the grid method, an alternative to the FOIL method. It demonstrates the process with examples involving both positive and negative numbers, highlighting the importance of carrying over operations and simplifying terms. The tutorial concludes with tips for using the grid method effectively.

What is the result of multiplying (X + 1) and (X + 5) using the grid method?

• X^2 + 5X + 1

• X^2 + 5X + 6

• X^2 + 7X + 5

• X^2 + 6X + 5

In the grid method, what should you do with the operation signs when setting up the grid?

• Ignore them completely.

• Use them only for negative numbers.

• Only consider them for the first term.

• Carry them through to each term.

When using the grid method, what is the simplified form of the expression obtained from (X + 4) and (X - 3)?

• X^2 + 7X + 12

• X^2 + 7X - 12

• X^2 + X + 12

• X^2 + X - 12

What is a key advantage of the grid method over the FOIL method?

• It is more visually organized.

• It works only for positive numbers.

• It requires fewer steps.

• It is faster to execute.

How can the grid method be adapted for three brackets?

• By ignoring the third bracket initially.

• By applying the FOIL method first, then the grid method.

• By multiplying the first two brackets, then using the result with the third.

• By using a larger grid for all three brackets at once.