A carpenter in Barbados calculates the cross-sectional area of a wooden beam as 9p² − 16q² square centimetres. What is the factorised form of this expression?

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Question

A carpenter in Barbados calculates the cross-sectional area of a wooden beam as 9p² − 16q² square centimetres. What is the factorised form of this expression?

Accepted Answer

(3p + 4q)(3p − 4q) — Award 1 mark for recognising the difference of two squares where 9p² = (3p)² and 16q² = (4q)². A is incorrect — this does not expand to the original expression. B is incorrect — this expands to 9p² − 24pq + 16q². D is incorrect — this does not produce the original expression.

Answer

(9p − 16q)(p + q)

Answer

(3p − 4q)²

Answer

(3p + 4q)(3p − 4q)

Answer

(3p − 16q)(3p + q)

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