Question

Упростите выражение(n€N)
Номер 61(а,б)

Answer 1

$1)...=a^n*(a-3)^2/(a-3)^3-3a ^{n-1} /(a-3)=a^n/(a-3)-3a ^{n-1} /$$(a-3)=(a^n-3a ^{n-1} )/(a-3)=a ^{n-1}(a-3)/(a-3)=a ^{n-1}$
$2)...= x^{n-1} /y(x^n-y^n)-y ^{n-1} /x(x^n-y^n)=(x^n-y^n)/xy(x^n-y^n)=$$1/xy$