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Expansion Formulae — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsExpansion Formulae3 Marks
Question
Expand : $(7 x+m)^3$
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Answer

Here, a = 7 and b = m
(7 + m)³ = (7)³ + 3(7)²(m) + 3(7)(m)² + (m)³
…[∵ (a + b)³ = a³ + 3a²b + 3ab² + b³]
= 343 + 3(49)(m) + 3(7)(m²) + m³
= 343 + 147m + 21m² + m³

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