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The expanded form of 3(a - 5) is 3a - 15.
To expand the expression 3(a - 5), you need to use the distributive property of multiplication over subtraction. This property states that a(b - c) is equal to ab - ac. In this case, the expression is 3(a - 5), where 3 is the multiplier, 'a' is the first term inside the brackets, and -5 is the second term.
First, multiply 3 by 'a'. This gives you 3a. Next, multiply 3 by -5. This gives you -15. So, when you put these two results together, you get 3a - 15.
This process is essential in algebra as it helps to simplify expressions and solve equations. By expanding expressions, you can more easily combine like terms and perform other algebraic operations. Remember, the key is to distribute the multiplier to each term inside the brackets carefully.
Practising this technique will make it easier to handle more complex algebraic expressions and equations in your GCSE Maths exams.
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