Question

Сократите дробь
$frac{a^{2} - ac + 2ab + b^{2} - bc }{ab - c^{2} + ac + b^{2} }$

Answer 1

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