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Algebra

Algebra. Expanding Brackets . Algebra. So far we have looked at simplifying expressions like 3x + 2y + 2x + 4y c ollecting the like terms to make 5x + 6y. Algebra. The next stage we need to deal with is an expression where brackets are involved, for example: 2 ( 5 x + 3y).

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Algebra

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  1. Algebra Expanding Brackets

  2. Algebra So far we have looked at simplifying expressions like 3x + 2y + 2x + 4y collecting the like terms to make 5x + 6y

  3. Algebra The next stage we need to deal with is an expression where brackets are involved, for example: 2 (5x + 3y) Between the 2 and the bracket there is no function symbol. This means the contents of the brackets are multiplied by the 2.

  4. Use the “crabs claw” Algebra 2 (5x + 3y) 2x5x = 10x 2x+3y = +6y 10x +3y

  5. Algebra Once you understand that the term outside the brackets always multiplies BOTH terms inside the brackets, the rest is fairly easy. There are just a few things to be careful of:

  6. Algebra When the term outside the brackets has a letter: 2x(3x + 4y) 2x x 3x 2x x +4y 6x2 +8xy

  7. Algebra Finally! x4xx7is notx28 When indices are multiplied together we just add them x4xx7isx11

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