Question

Разложите на множители!
1) $1) t^{3}- v^{3}= 2) x^{3}- frac{1}{8}= 3) 8 a^{9}+125 x^{3} 4) a^{6}+ c^{3}$

Answer 1

t³-v³=(t-v)(t²+tv+v²)
х³-1/8=(х-1/2)(х²+х/2+1/4)
8а⁹+125х³=(2а³+5х)(4а⁶-10а³х+25х²)
а⁶+с³=(а²+с)(а⁴-а²с+с²)

Answer 2

1) t³-v³ = (t-v)(t²+tv+v²)
2) x³ -18 = x³ - (12)³ = (x-12) (x²+ x2 + 14)
3) 8a^9 +125x³ = (2x³)³ +(5x)³ = (2a³+5x)(4a^6 - 10a^3*x + 25x²)
4) a^6 +c^3 = (a²)³+c³ =(a²+c)(a^4 - ca² + c²)