How do you explain expanding brackets?
To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression 3 ( m + 7 ) , multiply both. 3 ( m + 7 ) = 3 × m + 3 × 7 = 3 m + 21 .
Why is expanding brackets important?
You could instead multiply the number outside the bracket by each of the two numbers inside the bracket, and add the result together. This strategy is particularly important when we have to work out the value of a bracket containing letters such as 3( + 2), because it is impossible to evaluate the bracket first.
What is expanding double brackets?
Writing two brackets next to each other means the brackets need to be multiplied together. When expanding double brackets, every term in the first bracket has to be multiplied by every term in the second bracket. It is helpful to always multiply the terms in order so none are forgotten.
What is expanding and simplifying?
What does ‘expand and simplify’ mean? In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. To expand brackets we multiply everything outside of the bracket, by everything inside of the bracket.
What happens when you expand a double bracket?
Expanding double brackets Writing two brackets next to each other means the brackets need to be multiplied together. For example, ((y + 2) (y + 3)) means ((y + 2) times (y + 3)). When expanding double brackets, every term in the first bracket has to be multiplied by every term in the second bracket.
Can a secure learner expand a double bracket?
Secure learners will be able to expand double brackets and simplify the expression. Excelling learners will be able to solve unfamiliar problems involving expanding double brackets. Main: Starter activity on expanding and simplifying the sum of two brackets.
What are the exercises for expanding single brackets?
Expanding Single Brackets (4 exercises) Surface area of a cylinder Pictograms Estimating with significant figures Identifying significant figures Most popular sequences Applying the rules of indices to form and solve equations Changing the subject of a formula (6 exercises)
When do you multiply terms in double brackets?
For example, \\ ( (y + 2) (y + 3)\\) means \\ ( (y + 2) imes (y + 3)\\). When expanding double brackets, every term in the first bracket has to be multiplied by every term in the second bracket. It is helpful to always multiply the terms in order so none are forgotten.