Question

Помогите упростить выражение (5/а-а/5) *( 1/а-5+ 1/5+a)

Answer 1

$( frac{5}{a} - frac{a}{5} ) times ( frac{1}{a - 5} + frac{1}{5 + a} ) = \ ( frac{25}{5a} - frac{ {a}^{2} }{5a} ) times ( frac{5 + a}{( a - 5)(a + 5)} ) = \ frac{25 - {a}^{2} }{5a} times frac{5 + a}{(a - 5)(a + 5)} = \ frac{(5 - a)(5 + a)}{5a} times frac{5 + a}{(a - 5)(a + 5) } = \ frac{(5 - a)(5 + a)}{5a} = frac{25 - {a}^{2} }{5a}$