Algebra - Expanding Brackets

Algebra - Expanding Brackets

1. Expanding with terms outside a bracket

   • To expand this expression you must multiply every term inside the bracket by the terms outside.
     • 3y(4-2y) = 12y-6y^2

2. Expanding with negative terms outside a bracket

   • When there is a negative term outside the bracket, the signs of the multiplied terms change.
     • -a(2a^2-3a+1) = -2a^3+3a^3-a
     • In General:

3. Expanding then simplifying

   • When expanding then simplifying, you must multiply out the brackets and then collect together the like terms.

4. Squaring expressions

   • Example: (3m+2n)^2 = 9m^2+12mn+4n^2
   • In General:

5. The difference of two squares

   • Example: (2a+7)(2a-7) = 4a^2-49
   • In General:
   • After we expand and simplify a difference of two squares expression the two middle terms cancel out.

6. Expanding two brackets

   • To expand or multiply this expression we multiply every term in the first bracket and every term in the second bracket.
   • Example:

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