Advanced MathMedium
Equivalent expressions
Rewrite algebraic expressions in equivalent forms using factoring, expanding, and combining like terms.
Sample SAT Problem
Which expression is equivalent to (x + 3)² − 9?
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Step-by-Step Solution
Expand: x² + 6x + 9 − 9 = x² + 6x = x(x + 6).
Key Tips from Pamela
- FOIL or the box method helps expand binomials accurately.
- Look for difference of squares: a² − b² = (a+b)(a−b).
- Factor out the GCF first before using other techniques.
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