Expanding Triple Brackets Flashcards

GCSE Mathematics (Edexcel) 1MA1

Expanding triple brackets

Multiply the first two brackets together, simplify the result, then multiply this result by the third bracket.

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Terms in this set (10)

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Expanding triple brackets

Multiply the first two brackets together, simplify the result, then multiply this result by the third bracket.

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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.

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Step 2 of expanding triple brackets

Simplify the result from the first two brackets by combining like terms.

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Step 3 of expanding triple brackets

Multiply the simplified result by each term in the third bracket.

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Simplifying after expanding triple brackets

Combine all like terms after multiplying out all three brackets.

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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.

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Common mistake in expanding triple brackets

Forgetting to simplify the result after expanding the first two brackets before multiplying by the third bracket.

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Why simplify after the first two brackets?

Simplifying reduces the number of terms, making it easier to multiply by the third bracket.

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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.

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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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