Expanding a bracket with a negative multiplier

AlgebraKey Stage 3

Multiply every term by a negative number or a negative algebraic term.

Use the same distribution arrows as for a positive multiplier.
Keep the negative sign attached to the outside term.
A negative times a positive is negative; a negative times a negative is positive.

Example 1

Expand.

Multiply by both terms, keeping their signs.

Expand.

Multiply by both terms, keeping their signs.

Remember
A minus sign in front of a bracket means multiply every term by . For example, .

Question 1

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Check answer

Multiply by both terms, keeping their signs.

Question 2

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Check answer

Multiply by both terms, keeping their signs.

Question 3

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Check answer

Multiply by both terms, keeping their signs.

Question 4

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Check answer

Multiply by both terms, keeping their signs.

Question 5

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Check answer

Multiply by both terms, keeping their signs.