Question

Разложите на множители
1) 9x^2 - x^6

2) x^4 - 6x^2 + 9

Answer 1

$1. 9x^2 - x^6 = (3x)^2 - (x^3)^2 = (3x-x^3)(3x+x^3) \ 2. x^4 - 6x^2 + 9 = (x^2-3)^2=(x^2-3)(x^2-3)$

Answer 2

1) 9x^2 - x^6 = x^2(9 - x^4) = x^2(3 - x^2)(3 + x^2)
2) x^4 - 6x^2 + 9 = (x^2 - 3)^2 = (x^2 - 3)(x^2 - 3)