a³ - b³ = (a - b)(a² + ab + b²)
1000 - 27³ = 10³ - 27³ = (10 - 27)(10² + 270 + 27²) = (10 - 27)(100 + 270 + 729)
Если 1000m³ - (27n)³ то (10m)³ - (27n)³ = (10m - 27n)(100m² + 270mn + 729n²)
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a³ - b³ = (a - b)(a² + ab + b²)
1000 - 27³ = 10³ - 27³ = (10 - 27)(10² + 270 + 27²) = (10 - 27)(100 + 270 + 729)
Если 1000m³ - (27n)³ то (10m)³ - (27n)³ = (10m - 27n)(100m² + 270mn + 729n²)
Verified answer
Формула: a³ - b³ = (a - b)(a² + ab + b²)1000 - 27³ = 10³ - 27³ =
= (10 - 27)(10² + 10×27 + 27²)
= (10 - 27)(100 + 270 + 729)