Chapter 4:Algebra, 4.2:Algebraic Expansions

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Last updated 3:41 PM on 9/20/26
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13 Terms

1
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What does expanding mean?
Removing brackets by multiplying terms and simplifying
2
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What rule is used when expanding brackets?
The distributive law
3
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How do you expand one bracket?
Multiply the term outside the bracket by every term inside
4
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What must you do when expanding two brackets?
Multiply every term in the first bracket by every term in the second bracket
5
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What does FOIL stand for?
First
6
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When is the FOIL method used?
When multiplying two binomials
7
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What should you do after expanding brackets?
Collect like terms
8
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What should you be careful about when expanding brackets with subtraction?
Negative signs
9
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What is the general expansion of (x + a)(x + b)?
x² + (a + b)x + ab
10
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What does (x + a)² mean?
(x + a)(x + a)
11
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What does (x − a)² mean?
(x − a)(x − a)
12
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What is a common mistake when expanding two brackets?
Only multiplying the first terms instead of every term by every term
13
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Why must every term be multiplied when expanding two brackets?
So that no terms are missed in the expansion