Expanding and Simplifying Brackets

This video tutorial explains how to expand squared brackets by treating them as double brackets. It begins with a brief introduction, followed by a detailed explanation and example of the expansion process. Viewers are encouraged to practice with provided problems and then a recap of the method is given. The video concludes with a call to action for viewers to engage with the content and explore further resources.

What is the first step in expanding squared brackets?

• Multiply each term in the first bracket by each term in the second bracket.

• Add the terms inside the brackets.

• Subtract the terms inside the brackets.

• Divide the terms inside the brackets.

What should you do if you forget how to expand double brackets?

• Skip the problem.

• Watch a video tutorial.

• Ask a friend for help.

• Guess the answer.

When expanding (x - 5)^2, what is the result after multiplying the terms?

• x^2 - 5x + 25

• x^2 - 25

• x^2 - 10x + 25

• x^2 + 10x + 25

What does the squared symbol indicate when expanding brackets?

• Divide the brackets.

• Add the brackets together.

• Multiply the bracket by itself.

• Subtract the brackets.

How many terms should you end up with after expanding squared brackets?

• Four terms

• Five terms

• Three terms

• Two terms

What is the final simplified form of (x - 5)^2?

• x^2 - 5x + 25

• x^2 + 10x + 25

• x^2 - 25

• x^2 - 10x + 25

What should you do after expanding the brackets?

• Leave the expression as it is.

• Multiply the expression again.

• Simplify the expression.

• Add more terms.