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Descrição
Mapa Mental por Madeleine Pramoedya, atualizado more than 1 year ago
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Criado por Madeleine Pramoedya
aproximadamente 9 anos atrás
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Algebra - Expanding Brackets
- 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
- 3y(4-2y) = 12y-6y^2
- To expand this expression you must multiply
every term inside the bracket by the terms outside.
- 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:
- -a(2a^2-3a+1) =
-2a^3+3a^3-a
- When there is a negative term outside the bracket,
the signs of the multiplied terms change.
- Expanding then simplifying
- When expanding then simplifying, you must
multiply out the brackets and then collect
together the like terms.
- When expanding then simplifying, you must
multiply out the brackets and then collect
together the like terms.
- Squaring expressions
- Example: (3m+2n)^2 = 9m^2+12mn+4n^2
- In General:
- Example: (3m+2n)^2 = 9m^2+12mn+4n^2
- 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.
- Example: (2a+7)(2a-7) = 4a^2-49
- 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:
- To expand or multiply this expression we multiply every term in the
first bracket and every term in the second bracket.
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