Question

frac{a}{a-5}-frac{a^2}{a^2-10a+25}

Answer 1

$frac{a}{a-5}-frac{a^2}{a^2-10a+25} = \ = frac{a}{a-5}-frac{a^2}{(a - 5)^2} = frac{a(a - 5) - {a}^{2} }{(a - 5)^2} = \ = frac{ {a}^{2} - 5a - {a}^{2} }{ {(a - 5)}^{2} } = frac{ - 5a }{ {(a - 5)}^{2} }$