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Anastaziya [24]
3 years ago
13

Докажите тождество 3 n ( 3 m − 2 n ) + 6 m 2 = ( 6 m − 3 n ) ( 2 n + m ) .

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

The answer is 0

Step-by-step explanation:

3n(3m-2n) + 6m^2= (6m-3n)(2n+m)

By expansion

9mn - 6n^2 + 6m^2 = 12mn + 6m^2 -6n^2 - 3mn

By collecting like terms

9mn - 12mn + 3mn - 6n^2 + 6n^2 + 6m^2 - 6 m^2 = 0

-3mn + 3mn=0

Therefore the simplification of the expansion gives us 0

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