Question

Разложите на множители
1) 9x^2-x^6
2) x^4-6x^2+9

Answer 1

1) 9x²-x⁶=x²(9-x⁴)=x²(3-x²)(3+x²)=x²(√3-x)(√3+x)(3+x²)
2) x⁴-6x²+9=(x²)²-2*x²*3+x²=(x²-3)²