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Question

Mathematics Question on Algebraic Expressions

(i) If z = 10, find the value of z3 – 3(z – 10)
(ii) If p = – 10, find the value of p2 – 2p – 100

Answer

(i) z3–3(z–10) = (10)3-3(10-10) = 1000-3×0=1000-0 = 1000 [putting z=10]
(ii) p2–2p–100 = (-10)2-2(-10)-100 = 100+20-100 = 20 [putting p=-10]