Question

разложите на множители:

1) a^6-a^-5-a^-3

2)x-3

3)-x-x^3-6-6x^2

Answer 1

1) a^6-a^(-5)-a^(-3) = а^(-3) * (a⁹ - a^(-2) -1)

2)x-3 = (√x - √3)(√x+√3)

3)-x-x^3-6-6x^2 = -(x+x^3+6+6x^2) = -((x+6) + (x³ + 6x²)) = -((x+6) + x²(x+6)) = -((x+6)(1+x²)) = -(x+6)(1+x²)

Answer 2

1) a^6-a^(-5)-a^(-3) = а^(-3) * (a⁹ - a^(-2) -1))

2)x-3 = (√x - √3)(√x+√3)

3)-x-x^3-6-6x^2 = -(x+x^3+6+6x^2) = -((x+6) + (x³ + 6x²)) = -((x+6) + x²(x+6)) = -((x+6)(1+x²)) = -(x+6)(1+x²)