Forumet - polynomfaktorisering

polynomfaktorisering

308 0 12

Spana också in:

(Ifall du söker en detaljerad expansion enligt binomialsatsen.)

(a-b)³=

(a+(-b))³=

Σ[k,0,3](C(3,k)a^(3-k)(-b)^k)=

Σ[k,0,3]((3!/(k!(3-k)!))a^(3-k)(-b)^k)=

(3!/(0!(3-0)!))a^(3-0)(-b)°+(3!/(1!(3-1)!))a^(3-1)(-b)¹+(3!/(2!(3-2)!))a^(3-2)(-b)²+(3!/(3!(3-3)!))a^(3-3)(-b)³=

(3!/(0!3!))a³(-b)°+(3!/(1!2!))a²(-b)¹+(3!/(2!1!))a¹(-b)²+(3!/(3!0!))a°(-b)³=

(1×2×3/(1×1×2×3))a³×1+(1×2×3/(1×1×2))a²(-b)+(1×2×3/(1×2×1))ab²+1×2×3/(1×2×3×1)×1(-b³)=

(6/6)a³+(6/2)(-a²b)+(6/2)ab²+(6/6)(-b³)=

1a³+(-3a²b)+3ab²+(-1b³)=

a³-3a²b+3ab²-b³