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Maths-algebra: How to expand and simplify brackets

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Expanding brackets may seem hard, but to be honest, once you know it will be so easy. So I will show you step by step on how to solve it.

Here is an example:

2x (2+4) +3x (5+7)

the first thing that you will do is break the equations in parts so the first part you will solve is 2x (2+4). What you will do is 2x Times 2, which is 2x. Then you will do2x times 4 which is 8x.So now you have:2x      and        8xOk for the next part you will do the same thing but with different numbers. 3x times 5 which is 15x and 3x times 7 which is21x.So in this part you have:15x    and     21xAnd now you will add them up:
  • First, you lay it out like this
2x       8x            15x        21xso you add (always add) the 1st and 3rd numbers which are 2x +15x which is 17x then you add the 2nd and 4th numbers (8x +21x) which are 29xso then your answer is 17x+29x

Key facts

  • when you are adding up always put the numbers in order on when you solved it.
  • always add at the end
  • with the answer, you don’t add 17x and 29x you just right the answer like this: 17x+29
 

Test yourself:

Test
Have a go at the questions....
questions:
2x(4x+5)+6x(4x+3)
Answers
the answer is... 32x + 28x
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Test
Ok now have a go at this question
Question
4 (5x-2)
Just do the same thing but with one part
answer
20x-8
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There are more practice questions you can try:

Answers:

Here are the answers
1) is 2x+ 14
2) is 12x-9
3) is 8x+20
4) is 6x+8
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