Question

разложите на множители , подробно
1) 1000m^3-n^3
2)81a^3-ab^3
3)-8x^2-16xy-8y^2
4)5mn+15m-10n-30
5)256-b^4​

Answer 1

1). 1000m^3—n^3 =(10m-n)(100m^2+10mn+n^2)

2). 81a^3-ab^3= a(81a^3-b^3)

3)-8x^2-16xy-8y^2= -8(x+y) ^2

4)5mn+15m-10n-30=5(mn+3m-8n)

5)256-b^4=(4-b)(4+b)(16+b^2)