Question

упростите: (а^3 +1 / ab+b+a^2+a ) - (a^2 -a /a+b)

Answer 1

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Answer 2

$frac{a^3+1}{ab+b+a^2+a}-frac{a^2-a}{a+b}=frac{(a+1)(a^2-a+1)}{b(a+1)+a(a+1)}-frac{a^2-a}{a+b}=frac{(a+1)(a^2-a+1)}{(a+1)(b+a)}-frac{a^2-a}{a+b}=\frac{a^2-a+1}{b+a}-frac{a^2-a}{a+b}=frac{a^2-a+1-(a^2-a)}{b+a}=frac{1}{b+a}$