Использовать формулу сокращенного умножения.
1. 5m^2n - 20 mn^2
2. ( 3 a - 4) ^2
3. c - 16 c^3
4. 100 a^2 - 1
5. 3 a ^2 c - 3 c^2
1. 5m^2n - 20 mn^2
2. ( 3 a - 4) ^2
3. c - 16 c^3
4. 100 a^2 - 1
5. 3 a ^2 c - 3 c^2
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Answers & Comments
1. 5m^2n - 20 mn^2 = 5mn(m - 4n)
2. ( 3 a - 4) ^2 = 9a² - 24a + 16
3. c - 16 c^3 = c*(1 - 16c²) = c*(1 - 4c)*(1 + 4c)
4. 100 a^2 - 1 = (10a - 1)*(10a + 1)
5. 3 a ^2 c - 3 c^2 = 3c*(a² - c)