Expanding Brackets in Algebra - Methods and Simplification

The video tutorial covers expanding single and double brackets in algebra. It begins with single brackets, explaining the multiplication of terms outside and inside the brackets. The tutorial then moves to simplifying expressions and emphasizes the importance of BIDMAS. For double brackets, two methods are introduced: the FOIL method and the grid method. Each method is explained with examples, highlighting the importance of simplifying expressions after expansion.

What is the result of expanding the expression 10(x + y + 4)?

• 10x + 10y + 4

• 10x + 10y + 40

• 10x + y + 4

• x + 10y + 4

When expanding 3x(6x - 2), what should you do first?

• Add the numbers first

• Multiply the variables first

• Subtract the numbers first

• Multiply the numbers first

In the expression 2x + 6y and -7(2 - y), what is the result of multiplying -7 by -y?

• -7y

• 7y

• -14y

• 14y

Which method involves multiplying the first, outside, inside, and last terms of two brackets?

• Simplification method

• BIDMAS method

• FOIL method

• Grid method

In the grid method, what is the result of multiplying x by x?

• x cubed

• x

• 2x

• x squared