GCSE Secondary Maths Age 13-17 - Algebra: Expanding brackets - Explained

The video tutorial explains how to expand and simplify the expression (m + 7)(m + 3). It begins by expanding the brackets, multiplying each term to get m^2, 3m, 7m, and 21. The next step involves simplifying the expression by combining like terms, resulting in m^2 + 10m + 21. The tutorial concludes with a note on the scoring of the problem, highlighting the importance of both the expansion and the final answer.

What is the first step in expanding the expression (m + 7)(m + 3)?

• Multiply 7 by 3

• Multiply 3 by 7

• Multiply m by 7

• Multiply m by m

What is the result of multiplying 7 by m in the expression (m + 7)(m + 3)?

• m7

• 21

• 7m

• 7

After expanding the expression (m + 7)(m + 3), what is the next step?

• Simplify by combining like terms

• Add a constant

• Divide the terms

• Subtract the terms

What is the simplified form of the expression (m + 7)(m + 3)?

• m^2 + 7m + 3

• m^2 + 21

• m^2 + 3m + 7

• m^2 + 10m + 21

How many marks are awarded for correctly expanding and simplifying the expression?

• Four marks

• Two marks

• Three marks

• One mark