Question

Разложите трехчлен на множители: b^10 - 18b^5 m^5 + 81m^10

Answer 1

$b^{10} - 18b^{5}m^{5} + 81m^{10} = b^{5*2} - 2 cdot 9 cdot b^5m^5 + 9^2 m^{5*2} =\\= (b^5)^2 - 2cdot b^5 cdot (9m^5) + (9m^5)^2 = (b^5 - 9m^5)^2$