Expand brackets 3
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The document explains how to expand brackets in algebraic expressions by distributing any terms outside the brackets to the terms inside. It provides examples of expanding brackets in expressions like 3(x + 2), (x + 3)(x - 2), and x(x + 4) + 3(x + 2). The final expression x^2 + 7x + 6 is reached by first distributing x and 3 to the terms inside their respective brackets, then combining like terms.
Expand brackets 3
- 1. Expand Brackets January 29, 2015 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) This means x times (x + 4) This means 3 times (x + 2) x X (x + 4) + 3 X (x + 2)
- 3. 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 Work out
- 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 Work out
- 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 + 7x + 6 Tidy up Work out
- 6. 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 + 7x + 6 Tidy up Work out