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Expansions — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSExpansions4 Marks
Question
Evaluate the following :$(8.12)^3 - (3.12)^3$
✓

Answer

$(8.12)^3 - (3.12)^3$
$= (8.12 - 3.12)^3 + 3(8.12)(3.12)(8.12 - 3.12)$
$= 5^3 + 3(8.12)(3.12) \times 5$
$= 125 + 15 \times (8.12)(3.12)$
$= 125 + 15 \times 25.3344$
$= 125 + 380.016$
$= 505.016.$

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