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3400242
Algebra - Expanding Brackets
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By: Madeleine Pramoedya
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algebra
math
expansion
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Madeleine Pramoedya
, updated more than 1 year ago
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Created by
Madeleine Pramoedya
over 8 years ago
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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
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:
Expanding then simplifying
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:
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.
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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