2022 BTYSS P2 Q3

2022 BTYSS P2 Q3

Secondary 4
5 marks
  1. Factorise \(8a^3+b^3\).[2]
  2. Hence express \(8(\sqrt3)^3+(\sqrt{27})^3\) in the form \(m\sqrt3\), where \(m\) is an integer.[3]

Solution:

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Answer:(a) \((2a+b)(4a^2-2ab+b^2)\). (b) \(105\sqrt3\).

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