GCSE Secondary Maths Age 13-17 - Algebra: Expand and Simplify brackets - Explained

The video tutorial explains how to expand and simplify algebraic expressions. It begins with expanding two brackets by multiplying each term, resulting in M^2, 3M, 7M, and 21. The tutorial then simplifies the expression by combining like terms, resulting in 10M + 21. The video concludes with an explanation of the marking scheme, highlighting the importance of both the expansion and the final answer for scoring full marks.

What is the result of multiplying M by M?

• M^2

• M

• 2M

• M^3

When expanding the expression, what do you get when you multiply 7 by M?

• 7

• M7

• M^7

• 7M

After expanding, what is the result of combining 3M and 7M?

• 21M

• 10M

• M^2

• 4M

What is the final simplified expression after expanding and combining like terms?

• M^2 + 10M + 21

• M^2 + 3M + 21

• M^2 + 10M + 7

• M^2 + 7M + 21

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

• Three marks

• Two marks

• Four marks

• One mark