Multiplying Across a Single Bracket: Techniques and Examples

The video tutorial explains how to multiply across a single bracket in algebra. It begins with a basic introduction to the concept, using simple examples to illustrate the process. The tutorial then progresses to more complex examples, including those with different coefficients and algebraic terms. It also covers techniques for handling fractional coefficients. The video concludes by summarizing the key points and emphasizing the importance of practice.

What does the expression 2(x + 1) imply in terms of multiplication?

• 2 plus x plus 1

• 2 times x plus 1

• 2 divided by x plus 1

• 2 minus x plus 1

How do you expand the expression 3(x + 1)?

• 3x + 1

• 3x + 3

• 3x + 1x

• 3x + 1 + 3

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

• 10x + 10y + 4

• x + y + 40

• 10x + y + 40

• 10x + 10y + 40

When expanding 6(2x + y - 3), what is the coefficient of y?

• 12

• 6

• 18

• 3

In the expression 2(xy + y^2), what is the expanded form?

• xy + y^2

• 2xy + 2y^2

• 2x + 2y

• x^2 + y^2

How do you expand 3x(x - 1)?

• 3x - 1

• x^2 - 3x

• 3x^2 - 3x

• 3x^2 + x

What is the result of expanding 2/x(x^3 - 2x)?

• x^3 - 2x

• 2x^2 - 2x

• 2x^2 - 4

• 2x^3 - 4x