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Question

(i) If z = 10, find the value of z3 − 3 (z − 10).

(ii) If p = − 10, find the value of p2 − 2p − 100

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Solution

(i) z3 − 3 (z − 10) = z3 − 3z + 30

= (10 × 10 × 10) − (3 × 10) + 30

= 1000 − 30 + 30 = 1000

(ii) p2 − 2p − 100

= (−10) × (−10) − 2 (−10) − 100

= 100 + 20 − 100 = 20
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