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Expanding brackets means removing brackets by multiplying everything inside of the bracket by what is just outside of the bracket.

Let's have a look at a few examples.

 

Expand 3(4x − 2)

We will multiply 3 by 4x and 3 by −2

3 × 4x = 12x

3 × −2 = −6

Now we put these together to get the final answer: 12x − 6

 

 

Expand

−5(7 − 5b)

We will follow the same method, but we need to be careful with the negative sign.

−5 × 7 = −35

−5 × − 5b = 25b (positive!)

So the answer is −35 + 25b

 

Remember:

  • when we multiply a negative by a positive number, the answer is negative
  • when we multiply two negative numbers, the answer will be positive.

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