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Expansion Formulae — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsExpansion Formulae3 Marks
Question
Expand: $(198)^3$
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Answer

(198)³ = (200 – 2)³
Here, a = 200 and b = 2
(198)³ = (200)³ – 3(200)²(2) + 3(200)(2)² – (2)³
… [(a – b)³ = a³ – 3a²b + 3ab² – b³]
= 8000000 – 3(40000)(2) + 3(200)(4) – 8
= 8000000 – 240000 + 2400 – 8
= 7762392

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