MATHS - Algebra - Expanding Square Brackets

This video tutorial explains how to expand square brackets by treating them as double brackets. It reviews the process of expanding double brackets, where each term in the first bracket is multiplied by each term in the second bracket. The video provides an example of expanding squared brackets and simplifies the expression to x squared minus 10x plus 25. Viewers are encouraged to practice with provided problems and are reminded to ensure the final expression has exactly three terms. The tutorial concludes with a recap of the key steps involved in the process.

What is the first step in expanding square brackets?

• Divide the terms inside the bracket

• Add the terms inside the bracket

• Write the bracket twice and multiply each term in the first bracket by each term in the second bracket

• Multiply each term in the first bracket by itself

What does the term 'squared' imply in the context of brackets?

• The bracket is multiplied by itself

• The bracket is added to itself

• The bracket is divided by itself

• The bracket is subtracted from itself

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

• x^2 - 25

• x^2 - 10x + 25

• x^2 + 10x + 25

• x^2 - 5x + 25

What should you ensure when you finish expanding square brackets?

• The result has four terms

• The result is a constant

• The result is a single term

• The result has exactly three terms

How do you simplify the expression after expanding the brackets?

• By adding all the terms together

• By dividing all the terms by the same number

• By multiplying all the terms together

• By combining like terms