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Expand Brackets
18 March, 2022
This means ‘get rid’ of the brackets in cases like:
3(x + 2)
4(2x + 3)
x(x + 3)
3(x – 2) + 2(x – 3)
(x + 3)(x – 2)
Low C
C
B
x(x + 4) – 3(x + 2)
x X (x + 4) – 3 X (x + 2)
Take care with
the minus sign
x(x + 4) – 3(x + 2)
x X (x + 4) – 3 X (x + 2)
x X x + x X 4 – 3 X x – 3 X 2
Now, it’s –3 times
x and –3 times 2
Take care with
the minus sign
x(x + 4) – 3(x + 2)
This means x times
(x + 4)
This means -3
times (x + 2)
x X (x + 4) – 3 X (x + 2)
x X x + x X 4 – 3 X x – 3 X 2
x2 + 4x – 3x – 6 Now, it’s –3 times
x and –3 times 2
x(x + 4) – 3(x + 2)
This means x times
(x + 4)
This means -3
times (x + 2)
x X (x + 4) – 3 X (x + 2)
x X x + x X 4 – 3 X x – 3 X 2
x2 + 4x – 3x – 6
x2 + x – 6
Now, it’s –3 times
x and –3 times 2
Tidy up

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Expand brackets 4

  • 1. Expand Brackets 18 March, 2022 This means ‘get rid’ of the brackets in cases like: 3(x + 2) 4(2x + 3) x(x + 3) 3(x – 2) + 2(x – 3) (x + 3)(x – 2) Low C C B
  • 2. x(x + 4) – 3(x + 2) x X (x + 4) – 3 X (x + 2) Take care with the minus sign
  • 3. x(x + 4) – 3(x + 2) x X (x + 4) – 3 X (x + 2) x X x + x X 4 – 3 X x – 3 X 2 Now, it’s –3 times x and –3 times 2 Take care with the minus sign
  • 4. x(x + 4) – 3(x + 2) This means x times (x + 4) This means -3 times (x + 2) x X (x + 4) – 3 X (x + 2) x X x + x X 4 – 3 X x – 3 X 2 x2 + 4x – 3x – 6 Now, it’s –3 times x and –3 times 2
  • 5. x(x + 4) – 3(x + 2) This means x times (x + 4) This means -3 times (x + 2) x X (x + 4) – 3 X (x + 2) x X x + x X 4 – 3 X x – 3 X 2 x2 + 4x – 3x – 6 x2 + x – 6 Now, it’s –3 times x and –3 times 2 Tidy up