SadiqW437682 SadiqW437682

03-11-2022
Mathematics

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(3m - 2n)³ = (9m² -12mn + 4n²)

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KyricD759158 KyricD759158

03-11-2022

For this expression (3m - 2n)³ = (9m² -12mn + 4n²)

1)Let's remember the difference of two cubes

(a -b)³ = a³ -3a²b +3ab²-b³

(3m - 2n)³ = (3m)³ -3 (3m)²(-2n) +3(3m)(-2n)²-(2n)³ = 27m³ -54m²n +36mn²-8n³

27m³ -54m²n +36mn²-8n³ = 9m² -12mn + 4n²

2) Combining Like terms:

27m³ -54m²n +36mn²-8n³ -9m² +12mn+4n² =0

Since we can't get a simpler version of it. Let's keep with that.

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