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Expanding Triple Brackets Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Expanding triple brackets
Multiply the first two brackets together, simplify the result, then multiply this result by the third bracket.
Step 1 of expanding triple brackets
Expand the first two brackets by multiplying each term in the first bracket by each term in the second bracket.
Step 2 of expanding triple brackets
Simplify the result from the first two brackets by combining like terms.
Step 3 of expanding triple brackets
Multiply the simplified result by each term in the third bracket.
Simplifying after expanding triple brackets
Combine all like terms after multiplying out all three brackets.
Example: Expand (x+1)(x+2)(x+3)
First, expand (x+1)(x+2) to get x²+3x+2. Then multiply this by (x+3) to get x³+6x²+11x+6.
Common mistake in expanding triple brackets
Forgetting to simplify the result after expanding the first two brackets before multiplying by the third bracket.
Why simplify after the first two brackets?
Simplifying reduces the number of terms, making it easier to multiply by the third bracket.
How many terms are in the expansion of (x+1)(x+2)(x+3)?
The final expansion will have 4 terms: x³, x², x, and the constant.
Key skill for expanding triple brackets
Be systematic and careful to ensure every term is multiplied correctly and no terms are missed.

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