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Question

Simplify:

(i) (–3) × (–2)3

(ii) (–2)3 × (–10)3
[2 marks]

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Solution

(i)

The expansion of (-3) × (-2)3

= – 3 × – 2 × – 2 × – 2 (0.5 marks)

= – 3 × – 8 (0.5 marks)

= 24

(ii)

The expansion of (-2)3 × (-10)3

= – 2 × – 2 × – 2 × – 10 × – 10 × – 10 (0.5 marks)

= – 8 × – 1000 (0.5 marks)

= 8000


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