Question

Сократите дробь:
(a^2-25b^2+10bc-c^2)/(a^2-5ab+5bc-c^2)

Answer 1

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