Question

Разложите на множетели 1. 6ах²-12ах³ 2. 24а³с-3а²с 3. 5m²n-20mn² 4. 18ab²+27a²b 5. 1-64b² 6. 100a²-1 7. 2a³-8a 8. a³-4a 9. a³-ab² 10.2a³-2ab² 11. 3a²c-3c³ 12. c-16c³

Answer 1

6ax²-12ax³=6ax²(1-2x)

24а³с-3а² *с=3a²c(8a-1)

5m²n-20mn²=5mn(m-4n)

18ab²+27a²b=9ab(2b+3a)

1-64b²=(1-8b)(1+8b)

100a^2-1=(10a-1)(10a+1) 


2a(a2-4)=2a(a-2)(a+2)

a³-4a=a(a²-4)=a(a+2)(a-2)

a³-ab²=a(a²-b²)=a(a-b)(a+b)

 2a( a² - b²) = 2a( a - b)( a + b)

$3a^2c-3c^3=3c(a^2-c^2)=3c(a-c)(a+c) \\ c-16c^3=c(1-16c^2)=c(1-4c)(1+4c)$