Expanding Expressions and FOIL Method

This video tutorial explains how to expand both single and double brackets in algebra. It covers the multiplication process involved in expanding brackets and provides examples with unknowns and coefficients. The video introduces three methods for expanding double brackets: the Crab Claw method, the Grid method, and the FOIL method. Each method is explained with examples, and the video concludes with a recommendation to choose a preferred method for practice.

What is the main operation used when dealing with brackets?

• Division

• Subtraction

• Addition

• Multiplication

If you have 4(x + 5), what is the expanded form?

• 4x + 5x

• 4x + 20

• 4x + 5

• x + 20

What is the expanded form of 4(x + 5)?

• x + 20

• 4x + 20

• 4x + 5

• 4x + 5x

How do you expand 4(a - b)?

• 4a - b

• a - 4b

• 4a + b

• 4a - 4b

What is the expanded form of 4(a - b)?

• 4a + b

• a - 4b

• 4a - 4b

• 4a - b

What is the result of expanding x(2 - x)?

• 2x + x^2

• x - 2x^2

• x^2 - 2x

• 2x - x^2

What is the expanded form of x(2 - x)?

• x^2 - 2x

• 2x - x^2

• 2x + x^2

• x - 2x^2

In the expression 10a(2a - b), what is the coefficient of a^2?

• 5

• 2

• 20

• 10

What is the expanded form of 10a(2a - b)?

• 20a - 10ab

• 10a - 20ab

• 20a^2 - 10ab

• 10a^2 - 20ab

What is the result of 1/2(1/4 - x)?

• 1/8 + x

• 1/8 - 1/2x

• 1/2 - 1/4x

• 1/4 - 1/2x