Question

1. Разложите на множители:
1) ak^2 - an^2
2) 9m^2 - (1 + 2m)^2

Answer 1

ak^2 - an^2 = a(k^2 - n^2)

9m ^ 2 - (1 + 2m)^ 2 = 9m ^ 2 - (1 + 2m + 4m ^ 2-4m ^ 2) = 9m ^ 2 - (1 + 2m)^ 2 + 4m ^ 2 = 9m ^ 2 + 4m ^ 2 - (1 + 2m)^2 = 13м^2 - (1 + 2м)^2.