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Factorising Edexcel Higher6 主题
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Expanding-Brackets Edexcel Higher3 主题
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Triple-Brackets Edexcel Higher
Exam code:1MA1
Expanding three brackets
How do I expand three brackets?
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Multiply out any two of the brackets using a standard method and simplify
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Then multiply the resulting expression by the third (unused) bracket
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This step often looks like (x + a)(x2 + bx + c)
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Every term in the first bracket must be multiplied with every term in the second bracket
-
A grid can help to keep track of all the terms
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E.g. (x + 2)(x2 + 3x + 1)
x2
+3x
+1
x
x3
3x2
x
+2
2x2
6x
2
-
-
Add all the terms inside the grid together
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x3 + 2x2 + 3x2 + 6x + x + 2
-
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Simplify by collecting any like terms
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x3 + 5x2 + 7x + 2
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Worked Example
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.
Expand and simplify the first two brackets, for example using the FOIL method
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