Разложите ** множители: 1) x^3-100x 2) 2y^3-32y 3) 0,16y^6-y^4

Question

Разложите на множители:
1) x^3-100x
2) 2y^3-32y
3) 0,16y^6-y^4

Answer 1

1) x^3-100x = x(x² -100)= x(x -10)(x +10)
2) 2y^3-32y = 2y(y² - 16) = 2y(y -4)(y +4)
3) 0,16y^6-y^4 =y^4(0,16y² -1) = y^4(0,4y -1)(0,4y +1)